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Arithmetic compactifications of PEL-type Shimura varieties [[electronic resource] /] / Kai-Wen Lan
| Arithmetic compactifications of PEL-type Shimura varieties [[electronic resource] /] / Kai-Wen Lan |
| Autore | Lan Kai-Wen |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, 2013 |
| Descrizione fisica | 1 online resource (588 p.) |
| Disciplina | 516.3/5 |
| Collana | London Mathematical Society monographs |
| Soggetto topico |
Shimura varieties
Arithmetical algebraic geometry |
| Soggetto non controllato |
FourierЊacobi expansions
Hecke actions Hermitian symmetric spaces KodairaГpencer morphisms Koecher's principle Langlands program Lie algebra conditions PEL structures PEL-type Shimura varieties PEL-type Shimura PEL-type structures Raynaud extensions Siegel moduli schemes Weil-pairing calculation abelian schemes abelian varieties algebraic stacks analysis arithmetic minimal compactifications arithmetic toroidal compactifications automorphic forms biextensions codimension counting compactifications complex abelian varieties cubical structures cusp labels deformation theory degeneration data degeneration theory degeneration dual abelian varieties dual objects endomorphism structures functoriality geometry good algebraic models isogeny classes isomorphism classes isomorphism level structures linear algebraic assumptions local moduli functors minimal compactifications modular curves moduli problems multiplicative type number theory polarized abelian schemes polarized abelian varieties prorepresentability reductive groups representability semi-abelian schemes tale topology toroidal compactifications toroidal embeddings torsors |
| ISBN |
1-299-33300-1
1-4008-4601-3 |
| Classificazione | SK 240 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Acknowledgments -- Introduction -- Chapter One. Definition of Moduli Problems -- Chapter Two. Representability of Moduli Problems -- Chapter Three. Structures of Semi-Abelian Schemes -- Chapter Four. Theory of Degeneration for Polarized Abelian Schemes -- Chapter Five. Degeneration Data for Additional Structures -- Chapter Six. Algebraic Constructions of Toroidal Compactifications -- Chapter Seven. Algebraic Constructions of Minimal Compactifications -- Appendix A. Algebraic Spaces and Algebraic Stacks -- Appendix B. Deformations and Artin's Criterion -- Bibliography -- Index |
| Record Nr. | UNINA-9910792045903321 |
Lan Kai-Wen
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| Princeton, NJ, : Princeton University Press, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Classification of pseudo-reductive groups / / Brian Conrad, Gopal Prasad
| Classification of pseudo-reductive groups / / Brian Conrad, Gopal Prasad |
| Autore | Conrad Brian <1970-> |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2016 |
| Descrizione fisica | 1 online resource (256 p.) |
| Disciplina | 512/.55 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Linear algebraic groups
Group theory Geometry, Algebraic |
| Soggetto non controllato |
"ient homomorphism
Cartan k-subgroup Dynkin diagram Isogeny Theorem Isomorphism Theorem Levi subgroup SeveriЂrauer variety Tits classification Tits-style classification Weil restriction algebraic geometry automorphism functor automorphism scheme automorphism canonical central extensions central "ient central extension characteristic 2. conformal isometry degenerate quadratic form double bond exotic construction field-theoretic invariant generalized exotic group generalized standard group generalized standard presentation generalized standard isomorphism class isomorphism isotropic group k-tame central extension linear isomorphism linear-algebraic invariant maximal torus minimal type non-reduced root system number theory pseudo-isogeny pseudo-reductive group pseudo-semisimple group pseudo-simple group pseudo-simple k-group pseudo-split form pseudo-split quadratic space quadrics rank-1 rank-2 rigidity property root field root system scheme-theoretic center semisimple "ient semisimple k-group structure theorem |
| ISBN | 1-4008-7402-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Preliminary notions -- 3. Field-theoretic and linear-algebraic invariants -- 4. Central extensions and groups locally of minimal type -- 5. Universal smooth k-tame central extension -- 6. Automorphisms, isomorphisms, and Tits classification -- 7. Constructions with regular degenerate quadratic forms -- 8. Constructions when Φ has a double bond -- 9. Generalization of the standard construction -- A. Pseudo-isogenies -- B. Clifford constructions -- C. Pseudo-split and quasi-split forms -- D. Basic exotic groups of type F4 of relative rank 2 -- Bibliography -- Index |
| Record Nr. | UNINA-9910797511403321 |
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Conrad Brian <1970->
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| Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classification of pseudo-reductive groups / / Brian Conrad, Gopal Prasad
| Classification of pseudo-reductive groups / / Brian Conrad, Gopal Prasad |
| Autore | Conrad Brian <1970-> |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2016 |
| Descrizione fisica | 1 online resource (256 p.) |
| Disciplina | 512/.55 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Linear algebraic groups
Group theory Geometry, Algebraic |
| Soggetto non controllato |
"ient homomorphism
Cartan k-subgroup Dynkin diagram Isogeny Theorem Isomorphism Theorem Levi subgroup SeveriЂrauer variety Tits classification Tits-style classification Weil restriction algebraic geometry automorphism functor automorphism scheme automorphism canonical central extensions central "ient central extension characteristic 2. conformal isometry degenerate quadratic form double bond exotic construction field-theoretic invariant generalized exotic group generalized standard group generalized standard presentation generalized standard isomorphism class isomorphism isotropic group k-tame central extension linear isomorphism linear-algebraic invariant maximal torus minimal type non-reduced root system number theory pseudo-isogeny pseudo-reductive group pseudo-semisimple group pseudo-simple group pseudo-simple k-group pseudo-split form pseudo-split quadratic space quadrics rank-1 rank-2 rigidity property root field root system scheme-theoretic center semisimple "ient semisimple k-group structure theorem |
| ISBN | 1-4008-7402-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Preliminary notions -- 3. Field-theoretic and linear-algebraic invariants -- 4. Central extensions and groups locally of minimal type -- 5. Universal smooth k-tame central extension -- 6. Automorphisms, isomorphisms, and Tits classification -- 7. Constructions with regular degenerate quadratic forms -- 8. Constructions when Φ has a double bond -- 9. Generalization of the standard construction -- A. Pseudo-isogenies -- B. Clifford constructions -- C. Pseudo-split and quasi-split forms -- D. Basic exotic groups of type F4 of relative rank 2 -- Bibliography -- Index |
| Record Nr. | UNINA-9910813208303321 |
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Conrad Brian <1970->
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| Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Descent in buildings / / Bernhard Mühlherr, Holger P. Petersson, and Richard M. Weiss
| Descent in buildings / / Bernhard Mühlherr, Holger P. Petersson, and Richard M. Weiss |
| Autore | Mühlherr Bernhard Matthias |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , 2015 |
| Descrizione fisica | 1 online resource (353 pages) : illustrations |
| Disciplina | 516/.13 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Buildings (Group theory)
Combinatorial geometry |
| Soggetto non controllato |
Bruhat-Tits building
Clifford invariant Coxeter diagram Coxeter group Coxeter system Euclidean plane Fundamental Theorem of Descent Moufang building Moufang condition Moufang polygon Moufang quadrangle Moufang set Moufang structure Pfister form Structure Theorem Tits index abelian group absolute Coxeter diagram absolute Coxeter system absolute rank affine building algebraic group anisotropic pseudo-quadratic space anisotropic quadratic space anti-isomorphism apartment arctic region automorphism bilinear form biquaternion division algebra building canonical isomorphism chamber compatible representation descent group descent discrete valuation exceptional Moufang quadrangle exceptional quadrangle finite dimension fixed point building fixed point theory gem generalized quadrangle hyperbolic plane hyperbolic quadratic module hyperbolic quadratic space involutory set isomorphism isotropic quadratic space length function non-abelian group parallel residues polar space projection map proper indifferent set proper involutory set pseudo-quadratic space pseudo-split building quadratic form quadratic module quadratic space quaternion division algebra ramified quadrangle ramified quaternion division algebra ramified separable quadratic extension relative Coxeter diagram relative Coxeter group relative Coxeter system relative rank residual quadratic spaces residue root group sequence root round quadratic space scalar multiplication semi-ramified quadrangle separable quadratic extension simplicial complex special vertex spherical building split quadratic space standard involution subbuilding of split type subbuilding tamely ramified division algebra thick building thin T-building trace map trace unramified quadrangle unramified quadratic space unramified quaternion division algebra unramified separable quadratic extension vector space vertex weak isomorphism wild quadratic space |
| ISBN | 1-4008-7401-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- PART 1. Moufang Quadrangles -- Chapter 1. Buildings -- Chapter 2. Quadratic Forms -- Chapter 3. Moufang Polygons -- Chapter 4. Moufang Quadrangles -- Chapter 5. Linked Tori, I -- Chapter 6. Linked Tori, II -- Chapter 7. Quadratic Forms over a Local Field -- Chapter 8. Quadratic Forms of Type E6, E7 and E8 -- Chapter 9. Quadratic Forms of Type F4 -- PART 2. Residues in Bruhat-Tits Buildings -- Chapter 10. Residues -- Chapter 11. Unramified Quadrangles of Type E6, E7 and E8 -- Chapter 12. Semi-ramified Quadrangles of Type E6, E7 and E8 -- Chapter 13. Ramified Quadrangles of Type E6, E7 and E8 -- Chapter 14. Quadrangles of Type E6, E7 and E8: Summary -- Chapter 15. Totally Wild Quadratic Forms of Type E7 -- Chapter 16. Existence -- Chapter 17. Quadrangles of Type F4 -- Chapter 18. The Other Bruhat-Tits Buildings -- PART 3. Descent -- Chapter 19. Coxeter Groups -- Chapter 20. Tits Indices -- Chapter 21. Parallel Residues -- Chapter 22. Fixed Point Buildings -- Chapter 23. Subbuildings -- Chapter 24. Moufang Structures -- Chapter 25. Fixed Apartments -- Chapter 26. The Standard Metric -- Chapter 27. Affine Fixed Point Buildings -- PART 4. Galois Involutions -- Chapter 28. Pseudo-Split Buildings -- Chapter 29. Linear Automorphisms -- Chapter 30. Strictly Semi-linear Automorphisms -- Chapter 31. Galois Involutions -- Chapter 32. Unramified Galois Involutions -- PART 5. Exceptional Tits Indices -- Chapter 33. Residually Pseudo-Split Buildings -- Chapter 34. Forms of Residually Pseudo-Split Buildings -- Chapter 35. Orthogonal Buildings -- Chapter 36. Indices for the Exceptional Bruhat-Tits Buildings -- Bibliography -- Index |
| Record Nr. | UNINA-9910797524903321 |
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Mühlherr Bernhard Matthias
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| Princeton : , : Princeton University Press, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Descent in buildings / / Bernhard Mühlherr, Holger P. Petersson, and Richard M. Weiss
| Descent in buildings / / Bernhard Mühlherr, Holger P. Petersson, and Richard M. Weiss |
| Autore | Mühlherr Bernhard Matthias |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , 2015 |
| Descrizione fisica | 1 online resource (353 pages) : illustrations |
| Disciplina | 516/.13 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Buildings (Group theory)
Combinatorial geometry |
| Soggetto non controllato |
Bruhat-Tits building
Clifford invariant Coxeter diagram Coxeter group Coxeter system Euclidean plane Fundamental Theorem of Descent Moufang building Moufang condition Moufang polygon Moufang quadrangle Moufang set Moufang structure Pfister form Structure Theorem Tits index abelian group absolute Coxeter diagram absolute Coxeter system absolute rank affine building algebraic group anisotropic pseudo-quadratic space anisotropic quadratic space anti-isomorphism apartment arctic region automorphism bilinear form biquaternion division algebra building canonical isomorphism chamber compatible representation descent group descent discrete valuation exceptional Moufang quadrangle exceptional quadrangle finite dimension fixed point building fixed point theory gem generalized quadrangle hyperbolic plane hyperbolic quadratic module hyperbolic quadratic space involutory set isomorphism isotropic quadratic space length function non-abelian group parallel residues polar space projection map proper indifferent set proper involutory set pseudo-quadratic space pseudo-split building quadratic form quadratic module quadratic space quaternion division algebra ramified quadrangle ramified quaternion division algebra ramified separable quadratic extension relative Coxeter diagram relative Coxeter group relative Coxeter system relative rank residual quadratic spaces residue root group sequence root round quadratic space scalar multiplication semi-ramified quadrangle separable quadratic extension simplicial complex special vertex spherical building split quadratic space standard involution subbuilding of split type subbuilding tamely ramified division algebra thick building thin T-building trace map trace unramified quadrangle unramified quadratic space unramified quaternion division algebra unramified separable quadratic extension vector space vertex weak isomorphism wild quadratic space |
| ISBN | 1-4008-7401-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- PART 1. Moufang Quadrangles -- Chapter 1. Buildings -- Chapter 2. Quadratic Forms -- Chapter 3. Moufang Polygons -- Chapter 4. Moufang Quadrangles -- Chapter 5. Linked Tori, I -- Chapter 6. Linked Tori, II -- Chapter 7. Quadratic Forms over a Local Field -- Chapter 8. Quadratic Forms of Type E6, E7 and E8 -- Chapter 9. Quadratic Forms of Type F4 -- PART 2. Residues in Bruhat-Tits Buildings -- Chapter 10. Residues -- Chapter 11. Unramified Quadrangles of Type E6, E7 and E8 -- Chapter 12. Semi-ramified Quadrangles of Type E6, E7 and E8 -- Chapter 13. Ramified Quadrangles of Type E6, E7 and E8 -- Chapter 14. Quadrangles of Type E6, E7 and E8: Summary -- Chapter 15. Totally Wild Quadratic Forms of Type E7 -- Chapter 16. Existence -- Chapter 17. Quadrangles of Type F4 -- Chapter 18. The Other Bruhat-Tits Buildings -- PART 3. Descent -- Chapter 19. Coxeter Groups -- Chapter 20. Tits Indices -- Chapter 21. Parallel Residues -- Chapter 22. Fixed Point Buildings -- Chapter 23. Subbuildings -- Chapter 24. Moufang Structures -- Chapter 25. Fixed Apartments -- Chapter 26. The Standard Metric -- Chapter 27. Affine Fixed Point Buildings -- PART 4. Galois Involutions -- Chapter 28. Pseudo-Split Buildings -- Chapter 29. Linear Automorphisms -- Chapter 30. Strictly Semi-linear Automorphisms -- Chapter 31. Galois Involutions -- Chapter 32. Unramified Galois Involutions -- PART 5. Exceptional Tits Indices -- Chapter 33. Residually Pseudo-Split Buildings -- Chapter 34. Forms of Residually Pseudo-Split Buildings -- Chapter 35. Orthogonal Buildings -- Chapter 36. Indices for the Exceptional Bruhat-Tits Buildings -- Bibliography -- Index |
| Record Nr. | UNINA-9910822250603321 |
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Mühlherr Bernhard Matthias
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| Princeton : , : Princeton University Press, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Weyl group multiple Dirichlet [[electronic resource] /] / Ben Brubaker, Daniel Bump, and Solomon Friedberg
| Weyl group multiple Dirichlet [[electronic resource] /] / Ben Brubaker, Daniel Bump, and Solomon Friedberg |
| Autore | Brubaker Ben <1976-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2011 |
| Descrizione fisica | 1 online resource (173 p.) |
| Disciplina | 515/.243 |
| Altri autori (Persone) |
BumpDaniel <1952->
FriedbergSolomon <1958-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Dirichlet series
Weyl groups |
| Soggetto genere / forma | Electronic books. |
| Soggetto non controllato |
BZL pattern
Class I. Eisenstein series Euler product Gauss sum Gelfand-Tsetlin pattern Kashiwara operator Kashiwara's crystal Knowability Lemma Kostant partition function Riemann zeta function Schur polynomial Schützenberger involution Snake Lemma Statement A. Statement B. Statement C. Statement D. Statement E. Statement F. Statement G. Tokuyama's Theorem Weyl character formula Weyl denominator Weyl group multiple Dirichlet series Weyl vector Whittaker coefficient Whittaker function Yang-Baxter equation Yang–Baxter equation accordion adele group affine linear transformation analytic continuation analytic number theory archimedean place basis vector bijection bookkeeping box-circle duality boxing canonical indexings cardinality cartoon circling class combinatorial identity concurrence critical resonance crystal base crystal graph crystal divisibility condition double sum episode equivalence relation f-packet free abelian group functional equation generating function global field ice-type model inclusion-exclusion indexing involution isomorphism knowability maximality nodal signature nonarchimedean local field noncritical resonance nonzero contribution p-adic group p-adic integral p-adic integration partition function polynomial preaccordion prototype reduced root system representation theory residue class field resonance resotope row sums row transfer matrix short pattern six-vertex model snakes statistical mechanics subsignature tableaux type Γ-equivalence class Γ-swap |
| ISBN |
1-283-01338-X
9786613013385 1-4008-3899-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Type A Weyl Group Multiple Dirichlet Series -- Chapter Two. Crystals and Gelfand-Tsetlin Patterns -- Chapter Three. Duality -- Chapter Four. Whittaker Functions -- Chapter Five. Tokuyama's Theorem -- Chapter Six. Outline of the Proof -- Chapter Seven. Statement B Implies Statement A -- Chapter Eight. Cartoons -- Chapter Nine. Snakes -- Chapter Ten. Noncritical Resonances -- Chapter Eleven. Types -- Chapter Twelve. Knowability -- Chapter Thirteen. The Reduction to Statement D -- Chapter Fourteen. Statement E Implies Statement D -- Chapter Fifteen. Evaluation of ΛΓ and ΛΔ, and Statement G -- Chapter Sixteen. Concurrence -- Chapter Seventeen. Conclusion of the Proof -- Chapter Eighteen. Statement B and Crystal Graphs -- Chapter Nineteen. Statement B and the Yang-Baxter Equation -- Chapter Twenty. Crystals and p-adic Integration -- Bibliography -- Notation -- Index |
| Record Nr. | UNINA-9910459795903321 |
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Brubaker Ben <1976->
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| Princeton, N.J., : Princeton University Press, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Weyl group multiple Dirichlet [[electronic resource] /] / Ben Brubaker, Daniel Bump, and Solomon Friedberg
| Weyl group multiple Dirichlet [[electronic resource] /] / Ben Brubaker, Daniel Bump, and Solomon Friedberg |
| Autore | Brubaker Ben <1976-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2011 |
| Descrizione fisica | 1 online resource (173 p.) |
| Disciplina | 515/.243 |
| Altri autori (Persone) |
BumpDaniel <1952->
FriedbergSolomon <1958-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Dirichlet series
Weyl groups |
| Soggetto non controllato |
BZL pattern
Class I. Eisenstein series Euler product Gauss sum Gelfand-Tsetlin pattern Kashiwara operator Kashiwara's crystal Knowability Lemma Kostant partition function Riemann zeta function Schur polynomial Schützenberger involution Snake Lemma Statement A. Statement B. Statement C. Statement D. Statement E. Statement F. Statement G. Tokuyama's Theorem Weyl character formula Weyl denominator Weyl group multiple Dirichlet series Weyl vector Whittaker coefficient Whittaker function Yang-Baxter equation Yang–Baxter equation accordion adele group affine linear transformation analytic continuation analytic number theory archimedean place basis vector bijection bookkeeping box-circle duality boxing canonical indexings cardinality cartoon circling class combinatorial identity concurrence critical resonance crystal base crystal graph crystal divisibility condition double sum episode equivalence relation f-packet free abelian group functional equation generating function global field ice-type model inclusion-exclusion indexing involution isomorphism knowability maximality nodal signature nonarchimedean local field noncritical resonance nonzero contribution p-adic group p-adic integral p-adic integration partition function polynomial preaccordion prototype reduced root system representation theory residue class field resonance resotope row sums row transfer matrix short pattern six-vertex model snakes statistical mechanics subsignature tableaux type Γ-equivalence class Γ-swap |
| ISBN |
1-283-01338-X
9786613013385 1-4008-3899-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Type A Weyl Group Multiple Dirichlet Series -- Chapter Two. Crystals and Gelfand-Tsetlin Patterns -- Chapter Three. Duality -- Chapter Four. Whittaker Functions -- Chapter Five. Tokuyama's Theorem -- Chapter Six. Outline of the Proof -- Chapter Seven. Statement B Implies Statement A -- Chapter Eight. Cartoons -- Chapter Nine. Snakes -- Chapter Ten. Noncritical Resonances -- Chapter Eleven. Types -- Chapter Twelve. Knowability -- Chapter Thirteen. The Reduction to Statement D -- Chapter Fourteen. Statement E Implies Statement D -- Chapter Fifteen. Evaluation of ΛΓ and ΛΔ, and Statement G -- Chapter Sixteen. Concurrence -- Chapter Seventeen. Conclusion of the Proof -- Chapter Eighteen. Statement B and Crystal Graphs -- Chapter Nineteen. Statement B and the Yang-Baxter Equation -- Chapter Twenty. Crystals and p-adic Integration -- Bibliography -- Notation -- Index |
| Record Nr. | UNINA-9910789812403321 |
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Brubaker Ben <1976->
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| Princeton, N.J., : Princeton University Press, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||