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The based ring of two-sided cells of Affine Weyl groups of type Ã[subscript n-1] / / Nanhua Xi
| The based ring of two-sided cells of Affine Weyl groups of type Ã[subscript n-1] / / Nanhua Xi |
| Autore | Xi Nanhua <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Weyl groups
Representations of groups K-theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0342-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""Chapter 1. Cells in Affine Weyl Groups""; ""1.1. Hecke algebra""; ""1.2. Cell and a-function""; ""1.3. Affine Weyl group""; ""1.4. Star operation""; ""1.5. Based ring""; ""1.6. Star operation, II""; ""Chapter 2. Type A[sub(n-1)]""; ""2.1. The affine Weyl group associated with GL[sub(n)](C)""; ""2.2. Cells""; ""2.3. The based ring J[sub(c)]""; ""2.4. Chains and antichains""; ""2.5. Star operations for W""; ""Chapter 3. Canonical Left Cells""; ""3.1. The dominant weights""; ""3.2. The right cell containing x â?? X[sup(+)]""; ""3.3. The elements m[sub(x)]"" |
| Record Nr. | UNINA-9910480638803321 |
Xi Nanhua <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The based ring of two-sided cells of Affine Weyl groups of type Ã[subscript n-1] / / Nanhua Xi
| The based ring of two-sided cells of Affine Weyl groups of type Ã[subscript n-1] / / Nanhua Xi |
| Autore | Xi Nanhua <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Weyl groups
Representations of groups K-theory |
| ISBN | 1-4704-0342-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""Chapter 1. Cells in Affine Weyl Groups""; ""1.1. Hecke algebra""; ""1.2. Cell and a-function""; ""1.3. Affine Weyl group""; ""1.4. Star operation""; ""1.5. Based ring""; ""1.6. Star operation, II""; ""Chapter 2. Type A[sub(n-1)]""; ""2.1. The affine Weyl group associated with GL[sub(n)](C)""; ""2.2. Cells""; ""2.3. The based ring J[sub(c)]""; ""2.4. Chains and antichains""; ""2.5. Star operations for W""; ""Chapter 3. Canonical Left Cells""; ""3.1. The dominant weights""; ""3.2. The right cell containing x â?? X[sup(+)]""; ""3.3. The elements m[sub(x)]"" |
| Record Nr. | UNINA-9910788846803321 |
|
Xi Nanhua <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The based ring of two-sided cells of Affine Weyl groups of type Ã[subscript n-1] / / Nanhua Xi
| The based ring of two-sided cells of Affine Weyl groups of type Ã[subscript n-1] / / Nanhua Xi |
| Autore | Xi Nanhua <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Weyl groups
Representations of groups K-theory |
| ISBN | 1-4704-0342-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""Chapter 1. Cells in Affine Weyl Groups""; ""1.1. Hecke algebra""; ""1.2. Cell and a-function""; ""1.3. Affine Weyl group""; ""1.4. Star operation""; ""1.5. Based ring""; ""1.6. Star operation, II""; ""Chapter 2. Type A[sub(n-1)]""; ""2.1. The affine Weyl group associated with GL[sub(n)](C)""; ""2.2. Cells""; ""2.3. The based ring J[sub(c)]""; ""2.4. Chains and antichains""; ""2.5. Star operations for W""; ""Chapter 3. Canonical Left Cells""; ""3.1. The dominant weights""; ""3.2. The right cell containing x â?? X[sup(+)]""; ""3.3. The elements m[sub(x)]"" |
| Record Nr. | UNINA-9910807395303321 |
|
Xi Nanhua <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Kazhdan-Lusztig cells in certain affine Weyl groups / / Jian-Yi Shi
| The Kazhdan-Lusztig cells in certain affine Weyl groups / / Jian-Yi Shi |
| Autore | Shi Jian-Yi <1948-> |
| Edizione | [1st ed. 1986.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1986] |
| Descrizione fisica | 1 online resource (XII, 312 p.) |
| Disciplina | 510.8 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Automorphisms
Partitions (Mathematics) Weyl groups |
| ISBN | 3-540-39780-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Coxeter groups, Hecke algebras and their representations -- Applications of Kazhdan-Lusztig theory -- Geometric interpretations of the Kazhdan-Lusztig polynomials -- The algebraic descriptions of the affine Weyl group An of type Ãn?1, n>2 -- The partition of n associated with an element of the affine Weyl group An -- A geometrical description of the affine Weyl group An -- Admissible sign types of rank n -- Iterated star operations and interchanging operations on blocks -- The subset ??1(?) of the affine Weyl group An -- The set N ? of normalized elements of ??1(?) -- The orbit space Ãn of the affine Weyl group An -- The sequence ?(w,k) beginning with an element of N ? -- Raising operations on layers -- The left and right cells in ??1(?) -- ??1(?) is an rl-equivalence class of An -- Left cells are characterized by the generalized right ?-invariant -- The two-sided cells of the affine Weyl group An -- Some properties of cells and other equivalence classes of An -- Some special kinds of sign types -- The inserting algorithm on the set C -- The restriction of the map on p n. |
| Record Nr. | UNISA-996466487303316 |
|
Shi Jian-Yi <1948->
|
||
| Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1986] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
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 |
|
Brubaker Ben <1976->
|
||
| Princeton, N.J., : Princeton University Press, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
|
Brubaker Ben <1976->
|
||
| Princeton, N.J., : Princeton University Press, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Weyl group multiple Dirichlet / / Ben Brubaker, Daniel Bump, and Solomon Friedberg
| Weyl group multiple Dirichlet / / 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 |
| 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-9910824301203321 |
|
Brubaker Ben <1976->
|
||
| Princeton, N.J., : Princeton University Press, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Weyl group multiple Dirichlet series : Type A combinatorial theory / Ben Brubaker, Daniel Bump, and Solomon Friedberg
| Weyl group multiple Dirichlet series : Type A combinatorial theory / Ben Brubaker, Daniel Bump, and Solomon Friedberg |
| Autore | Brubaker, Ben |
| Pubbl/distr/stampa | Princeton, N. J. : Princeton University Press, 2011 |
| Descrizione fisica | xii, 158 p. : ill. ; 25 cm |
| Disciplina | 515.243 |
| Altri autori (Persone) |
Bump, Danielauthor
Friedberg, Solomon |
| Collana | Annals of mathematics studies ; 175 |
| Soggetto topico |
Dirichlet series
Weyl groups |
| ISBN |
9780691150659
9780691150666 |
| Classificazione |
AMS 11-02
AMS 11F66 AMS 11M41 LC QA295.B876 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001370549707536 |
|
Brubaker, Ben
|
||
| Princeton, N. J. : Princeton University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Weyl groups and birational transformations among minimal models / / Kenji Matsuki
| Weyl groups and birational transformations among minimal models / / Kenji Matsuki |
| Autore | Matsuki Kenji <1958-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (146 p.) |
| Disciplina | 516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Surfaces, Algebraic
Weyl groups Threefolds (Algebraic geometry) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0136-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter I. Introduction""; ""Chapter II. Weyl groups appearing in the symmetry among minimal models""; ""ÂII-1. 3â€?folds of general type â€? Weyl groups of finite type""; ""ÂII-1-1. The case of rational double points""; ""ÂII-1-2. The case of Del Pezzo surfaces""; ""ÂII-1-3. The case of ruled surfaces""; ""ÂII-2. Elliptic 3-folds â€? Weyl groups of affine type""; ""ÂII-2-1. The case of Kodairaâ€?type degenerations of elliptic curves""; ""ÂII-3. 3â€?folds with Kodaira dimension 1 â€? Weyl groups of hyperbolic type""
""ÂII-3-1. The case of Picardâ€?Lefschetz reflections of K3 surfaces""""ÂII-4. 3-folds with Kodaira dimension 0""; ""ÂII-4-1. The case of generic quintic 3â€?folds""; ""Chapter III. Weyl groups for Fano 3â€?folds""; ""ÂIII-1. Characterization of the Weyl groups for Del Pezzo surfaces and its generalization to Fano manifolds of higher dimensions""; ""ÂIII-2. Flops in dimension 4""; ""ÂIII-3. Table for the Weyl groups for Fano 3â€?folds""; ""Chapter IV. Summary and speculation about the connection with algebraic groups""; ""References"" |
| Record Nr. | UNINA-9910480195803321 |
|
Matsuki Kenji <1958->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Weyl groups and birational transformations among minimal models / / Kenji Matsuki
| Weyl groups and birational transformations among minimal models / / Kenji Matsuki |
| Autore | Matsuki Kenji <1958-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (146 p.) |
| Disciplina | 516.3/5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Surfaces, Algebraic
Weyl groups Threefolds (Algebraic geometry) |
| ISBN | 1-4704-0136-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter I. Introduction""; ""Chapter II. Weyl groups appearing in the symmetry among minimal models""; ""ÂII-1. 3â€?folds of general type â€? Weyl groups of finite type""; ""ÂII-1-1. The case of rational double points""; ""ÂII-1-2. The case of Del Pezzo surfaces""; ""ÂII-1-3. The case of ruled surfaces""; ""ÂII-2. Elliptic 3-folds â€? Weyl groups of affine type""; ""ÂII-2-1. The case of Kodairaâ€?type degenerations of elliptic curves""; ""ÂII-3. 3â€?folds with Kodaira dimension 1 â€? Weyl groups of hyperbolic type""
""ÂII-3-1. The case of Picardâ€?Lefschetz reflections of K3 surfaces""""ÂII-4. 3-folds with Kodaira dimension 0""; ""ÂII-4-1. The case of generic quintic 3â€?folds""; ""Chapter III. Weyl groups for Fano 3â€?folds""; ""ÂIII-1. Characterization of the Weyl groups for Del Pezzo surfaces and its generalization to Fano manifolds of higher dimensions""; ""ÂIII-2. Flops in dimension 4""; ""ÂIII-3. Table for the Weyl groups for Fano 3â€?folds""; ""Chapter IV. Summary and speculation about the connection with algebraic groups""; ""References"" |
| Record Nr. | UNINA-9910788758003321 |
|
Matsuki Kenji <1958->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Weyl groups
(11)
- Dirichlet series (4)
- K-theory (3)
- Representations of groups (3)
- Surfaces, Algebraic (3)