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The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129 / / C. Bushnell, P. C. Kutzko
| The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129 / / C. Bushnell, P. C. Kutzko |
| Autore | Bushnell C. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (327 pages) : illustrations |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Representations of groups
Nonstandard mathematical analysis |
| Soggetto non controllato |
Abelian group
Abuse of notation Additive group Affine Hecke algebra Algebra homomorphism Approximation Automorphism Bijection Block matrix Calculation Cardinality Classical group Computation Conjecture Conjugacy class Contradiction Corollary Coset Critical exponent Diagonal matrix Dimension (vector space) Dimension Discrete series representation Discrete valuation ring Divisor Eigenvalues and eigenvectors Equivalence class Exact sequence Exactness Existential quantification Explicit formula Explicit formulae (L-function) Field extension Finite group Functor Gauss sum General linear group Group theory Haar measure Harmonic analysis Hecke algebra Homomorphism Identity matrix Induced representation Integer Irreducible representation Isomorphism class Iwahori subgroup Jordan normal form Levi decomposition Local Langlands conjectures Local field Locally compact group Mathematics Matrix coefficient Maximal compact subgroup Maximal ideal Multiset Normal subgroup P-adic number Permutation matrix Polynomial Profinite group Quantity Rational number Reductive group Representation theory Requirement Residue field Ring (mathematics) Scientific notation Simple module Special case Sub"ient Subgroup Subset Support (mathematics) Symmetric group Tensor product Terminology Theorem Topological group Topology Vector space Weil group Weyl group |
| ISBN | 1-4008-8249-4 |
| Classificazione | SK 340 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Comments for the reader -- 1. Exactness and intertwining -- 2. The structure of simple strata -- 3. The simple characters of a simple stratum -- 4. Interlude with Hecke algebra -- 5. Simple types -- 6. Maximal types -- 7. Typical representations -- 8. Atypical representations -- References -- Index of notation and terminology |
| Record Nr. | UNINA-9910154750803321 |
Bushnell C.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / / Jonathan David Rogawski
| Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / / Jonathan David Rogawski |
| Autore | Rogawski Jonathan David |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (273 pages) |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Unitary groups
Trace formulas Representations of groups Automorphic forms |
| Soggetto non controllato |
Abelian group
Abuse of notation Addition Admissible representation Algebraic closure Algebraic group Algebraic number field Asymptotic expansion Automorphism Base change map Base change Bijection Borel subgroup Cartan subgroup Class function (algebra) Coefficient Combination Compact group Complementary series representation Complex number Congruence subgroup Conjugacy class Continuous function Corollary Countable set Diagram (category theory) Differential operator Dimension (vector space) Dimension Discrete spectrum Division algebra Division by zero Eigenvalues and eigenvectors Embedding Equation Existential quantification Finite set Fourier transform Fundamental lemma (Langlands program) G factor (psychometrics) Galois group Global field Haar measure Hecke algebra Homomorphism Hyperbolic set Index notation Irreducible representation Isomorphism class L-function Langlands classification Linear combination Local field Mathematical induction Maximal compact subgroup Maximal torus Morphism Multiplicative group Neighbourhood (mathematics) Orbital integral Oscillator representation P-adic number Parity (mathematics) Principal series representation Quaternion algebra Quaternion Reductive group Regular element Remainder Representation theory Ring of integers Scientific notation Semisimple algebra Set (mathematics) Shimura variety Simple algebra Smoothness Special case Stable distribution Subgroup Summation Support (mathematics) Tate conjecture Tensor product Theorem Trace formula Triangular matrix Unitary group Variable (mathematics) Weight function Weil group |
| ISBN | 1-4008-8244-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Introduction -- Chapter 1. Preliminary definitions and notation -- Chapter 2. The trace formula -- Chapter 3. Stable conjugacy -- Chapter 4. Orbital integrals and endoscopic groups -- Chapter 5. Stabilization -- Chapter 6. Weighted orbital integrals -- Chapter 7. Elliptic singular terms -- Chapter 8. Germ expansions and limit formulas -- Chapter 9. Singularities -- Chapter 10. The stable trace formula -- Chapter 11. The Unitary group in two variables -- Chapter 12. Representation theory -- Chapter 13. Automorphic representations -- Chapter 14. Comparison of inner forms -- Chapter 15. Additional results -- References -- Subject Index -- Notation Index |
| Record Nr. | UNINA-9910154747203321 |
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Rogawski Jonathan David
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Blocks and families for cyclotomic Hecke algebras / Maria Chlouveraki
| Blocks and families for cyclotomic Hecke algebras / Maria Chlouveraki |
| Autore | Chlouveraki, Maria |
| Pubbl/distr/stampa | Berlin, : Springer, 2009 |
| Descrizione fisica | XIII, 160 p. ; 24 cm |
| Soggetto topico |
20C08 - Hecke algebras and their representations [MSC 2020]
20F36 - Braid groups; Artin groups [MSC 2020] 20F55 - Reflection and Coxeter groups (group-theoretic aspects) [MSC 2020] |
| Soggetto non controllato |
Algebra
Complex reflection groups Families of characters Hecke algebra Representation Theory Rouquier blocks Symmetric algebras |
| ISBN | 978-36-420-3063-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0075745 |
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Chlouveraki, Maria
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| Berlin, : Springer, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 / / George Lusztig
| Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 / / George Lusztig |
| Autore | Lusztig George |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (408 pages) : illustrations |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Finite groups
Finite fields (Algebra) Characters of groups |
| Soggetto non controllato |
Addition
Algebra representation Algebraic closure Algebraic group Algebraic variety Algebraically closed field Bijection Borel subgroup Cartan subalgebra Character table Character theory Characteristic function (probability theory) Characteristic polynomial Class function (algebra) Classical group Coefficient Cohomology with compact support Cohomology Combination Complex number Computation Conjugacy class Connected component (graph theory) Coxeter group Cyclic group Cyclotomic polynomial David Kazhdan Dense set Derived category Diagram (category theory) Dimension Direct sum Disjoint sets Disjoint union E6 (mathematics) Eigenvalues and eigenvectors Endomorphism Equivalence class Equivalence relation Existential quantification Explicit formula Explicit formulae (L-function) Fiber bundle Finite field Finite group Fourier transform Green's function Group (mathematics) Group action Group representation Harish-Chandra Hecke algebra Identity element Integer Irreducible representation Isomorphism class Jordan decomposition Line bundle Linear combination Local system Mathematical induction Maximal torus Module (mathematics) Monodromy Morphism Orthonormal basis P-adic number Parametrization Parity (mathematics) Partially ordered set Perverse sheaf Pointwise Polynomial Quantity Rational point Reductive group Ree group Schubert variety Scientific notation Semisimple Lie algebra Sheaf (mathematics) Simple group Simple module Special case Standard basis Subset Subtraction Summation Surjective function Symmetric group Tensor product Theorem Two-dimensional space Unipotent representation Vector bundle Vector space Verma module Weil conjecture Weyl group Zariski topology |
| ISBN | 1-4008-8177-3 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- 1. COMPUTATION OF LOCAL INTERSECTION COHOMOLOGY OF CERTAIN LINE BUNDLES OVER A SCHUBERT VARIETY -- 2. LOCAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE CLOSURES OF THE VARIETIES XW -- 3. GLOBAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE VARIETY X̅W -- 4. REPRESENTATIONS OF WEYL GROUPS -- 5. CELLS IN WEYL GROUPS -- 6. AN INTEGRALITY THEOREM AND A DISJOINTNESS THEOREM -- 7. SOME EXCEPTIONAL GROUPS -- 8. DECOMPOSITION OF INDUCED REPRESENTATIONS -- 9. CLASSICAL GROUPS -- 10. COMPLETION OF THE PROOF OF THEOREM 4.23 -- 11. EIGENVALUES OF FROBENIUS -- 12. ON THE STRUCTURE OF LEFT CELLS -- 13. RELATIONS WITH CONJUGACY CLASSES -- 14. CONCLUDING REMARKS -- APPENDIX -- REFERENCES -- SUBJECT INDEX -- NOTATION INDEX -- Backmatter |
| Record Nr. | UNINA-9910154752803321 |
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Lusztig George
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Gelfand Triples and Their Hecke Algebras : Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups / Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli ; Foreword by Eiichi Bannai
| Gelfand Triples and Their Hecke Algebras : Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups / Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli ; Foreword by Eiichi Bannai |
| Autore | Ceccherini-Silberstein, Tullio |
| Pubbl/distr/stampa | Cham, : Springer, 2020 |
| Descrizione fisica | xviii, 138 p. ; 24 cm |
| Altri autori (Persone) |
Scarabotti, Fabio
Tolli, Filippo |
| Soggetto topico |
20C08 - Hecke algebras and their representations [MSC 2020]
20G05 - Representation theory for linear algebraic groups [MSC 2020] 43A35 - Positive definite functions on groups, semigroups, etc. [MSC 2020] 43A90 - Harmonic analysis and spherical functions [MSC 2020] 20C15 - Ordinary representations and characters [MSC 2020] 43A65 - Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) [MSC 2020] |
| Soggetto non controllato |
Gelfand Pair
General Linear Group over a Finite Field Hecke algebra Induced Representation Spherical Function |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0132633 |
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Ceccherini-Silberstein, Tullio
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| Cham, : Springer, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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On the cohomology of certain noncompact Shimura varieties [[electronic resource] /] / Sophie Morel; with an appendix by Robert Kottwitz
| On the cohomology of certain noncompact Shimura varieties [[electronic resource] /] / Sophie Morel; with an appendix by Robert Kottwitz |
| Autore | Morel Sophie <1979-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2010 |
| Descrizione fisica | 1 online resource (231 p.) |
| Disciplina | 516.3/52 |
| Collana | Annals of mathematics |
| Soggetto topico |
Shimura varieties
Homology theory |
| Soggetto non controllato |
Accuracy and precision
Adjoint Algebraic closure Archimedean property Automorphism Base change map Base change Calculation Clay Mathematics Institute Coefficient Compact element Compact space Comparison theorem Conjecture Connected space Connectedness Constant term Corollary Duality (mathematics) Existential quantification Exterior algebra Finite field Finite set Fundamental lemma (Langlands program) Galois group General linear group Haar measure Hecke algebra Homomorphism L-function Logarithm Mathematical induction Mathematician Maximal compact subgroup Maximal ideal Morphism Neighbourhood (mathematics) Open set Parabolic induction Permutation Prime number Ramanujan–Petersson conjecture Reductive group Ring (mathematics) Scientific notation Shimura variety Simply connected space Special case Sub"ient Subalgebra Subgroup Symplectic group Theorem Trace formula Unitary group Weyl group |
| ISBN |
1-282-45800-0
1-282-93632-8 9786612936326 9786612458002 1-4008-3539-9 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. The fixed point formula -- Chapter 2. The groups -- Chapter 3. Discrete series -- Chapter 4. Orbital integrals at p -- Chapter 5. The geometric side of the stable trace formula -- Chapter 6. Stabilization of the fixed point formula -- Chapter 7. Applications -- Chapter 8. The twisted trace formula -- Chapter 9. The twisted fundamental lemma -- Appendix. Comparison of two versions of twisted transfer factors -- Bibliography -- Index |
| Record Nr. | UNINA-9910780861803321 |
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Morel Sophie <1979->
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| Princeton, : Princeton University Press, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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On the cohomology of certain noncompact Shimura varieties / / Sophie Morel; with an appendix by Robert Kottwitz
| On the cohomology of certain noncompact Shimura varieties / / Sophie Morel; with an appendix by Robert Kottwitz |
| Autore | Morel Sophie <1979-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2010 |
| Descrizione fisica | 1 online resource (231 p.) |
| Disciplina | 516.3/52 |
| Collana | Annals of mathematics |
| Soggetto topico |
Shimura varieties
Homology theory |
| Soggetto non controllato |
Accuracy and precision
Adjoint Algebraic closure Archimedean property Automorphism Base change map Base change Calculation Clay Mathematics Institute Coefficient Compact element Compact space Comparison theorem Conjecture Connected space Connectedness Constant term Corollary Duality (mathematics) Existential quantification Exterior algebra Finite field Finite set Fundamental lemma (Langlands program) Galois group General linear group Haar measure Hecke algebra Homomorphism L-function Logarithm Mathematical induction Mathematician Maximal compact subgroup Maximal ideal Morphism Neighbourhood (mathematics) Open set Parabolic induction Permutation Prime number Ramanujan–Petersson conjecture Reductive group Ring (mathematics) Scientific notation Shimura variety Simply connected space Special case Sub"ient Subalgebra Subgroup Symplectic group Theorem Trace formula Unitary group Weyl group |
| ISBN |
1-282-45800-0
1-282-93632-8 9786612936326 9786612458002 1-4008-3539-9 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. The fixed point formula -- Chapter 2. The groups -- Chapter 3. Discrete series -- Chapter 4. Orbital integrals at p -- Chapter 5. The geometric side of the stable trace formula -- Chapter 6. Stabilization of the fixed point formula -- Chapter 7. Applications -- Chapter 8. The twisted trace formula -- Chapter 9. The twisted fundamental lemma -- Appendix. Comparison of two versions of twisted transfer factors -- Bibliography -- Index |
| Record Nr. | UNINA-9910819579603321 |
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Morel Sophie <1979->
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| Princeton, : Princeton University Press, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Representation Theory of Finite Group Extensions : Clifford Theory, Mackey Obstruction, and the Orbit Method / Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
| Representation Theory of Finite Group Extensions : Clifford Theory, Mackey Obstruction, and the Orbit Method / Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli |
| Autore | Ceccherini-Silberstein, Tullio |
| Pubbl/distr/stampa | Cham, : Springer, 2022 |
| Descrizione fisica | xiii, 340 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Scarabotti, Fabio
Tolli, Filippo |
| Soggetto non controllato |
Central Group Extension
Character theory Clifford Theory Cohomology of Groups Finite Groups Group extension Hecke algebra Heisenberg Groups Induced Representation Lie Ring Little Group Method Mackey Obstruction Mackey Theory Metabelian Group Nilpotent groups Orbit method Projective Representation Schur multiplier Unitary 2-cocycle Unitary Representation |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0278103 |
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Ceccherini-Silberstein, Tullio
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| Cham, : Springer, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Siegel Modular Forms : A Classical and Representation-Theoretic Approach / Ameya Pitale
| Siegel Modular Forms : A Classical and Representation-Theoretic Approach / Ameya Pitale |
| Autore | Pitale, Ameya |
| Pubbl/distr/stampa | Cham, : Springer, 2019 |
| Descrizione fisica | ix, 138 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
20-XX - Group theory and generalizations [MSC 2020] |
| Soggetto non controllato |
Automorphic representations
Deligne's conjecture Fermat's Last Theorem Fourier coefficients Hecke algebra L-functions Number theory Representation Theory Shimura-Taniyama-Weil conjecture Siegel modular forms Symplectic Groups |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0125411 |
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Pitale, Ameya
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| Cham, : Springer, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120 / / Laurent Clozel, James Arthur
| Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120 / / Laurent Clozel, James Arthur |
| Autore | Arthur James |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (248 pages) : illustrations |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Representations of groups
Trace formulas Automorphic forms |
| Soggetto non controllato |
0E
Addition Admissible representation Algebraic group Algebraic number field Approximation Archimedean property Automorphic form Automorphism Base change Big O notation Binomial coefficient Canonical map Cartan subalgebra Cartan subgroup Central simple algebra Characteristic polynomial Closure (mathematics) Combination Computation Conjecture Conjugacy class Connected component (graph theory) Continuous function Contradiction Corollary Counting Coxeter element Cusp form Cyclic permutation Dense set Density theorem Determinant Diagram (category theory) Discrete series representation Discrete spectrum Division algebra Eigenvalues and eigenvectors Eisenstein series Exact sequence Existential quantification Field extension Finite group Finite set Fourier transform Functor Fundamental lemma (Langlands program) Galois extension Galois group Global field Grothendieck group Group representation Haar measure Harmonic analysis Hecke algebra Hilbert's Theorem 90 Identity component Induced representation Infinite product Infinitesimal character Invariant measure Irreducibility (mathematics) Irreducible representation L-function Langlands classification Laurent series Lie algebra Lie group Linear algebraic group Local field Mathematical induction Maximal compact subgroup Multiplicative group Nilpotent group Orbital integral P-adic number Paley–Wiener theorem Parameter Parametrization Permutation Poisson summation formula Real number Reciprocal lattice Reductive group Root of unity Scientific notation Semidirect product Special case Spherical harmonics Subgroup Subset Summation Support (mathematics) Tensor product Theorem Trace formula Unitary representation Weil group Weyl group Zero of a function |
| ISBN | 1-4008-8240-0 |
| Classificazione | SK 240 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Local Results -- Chapter 2. The Global Comparison -- Chapter 3. Base Change -- Bibliography |
| Record Nr. | UNINA-9910154743703321 |
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Arthur James
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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