1.

Record Nr.

UNINA9910809229303321

Titolo

Algebraic groups and quantum groups : International Conference on Representation Theory of Algebraic Groups and Quantum Groups '10, August 2-6, 2010, Graduate School of Mathematics, Nagoya University, Nagoya, Japan / / Susumu Ariki [and five others], editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2012]

©2012

ISBN

0-8218-8536-7

Descrizione fisica

1 online resource (302 p.)

Collana

Contemporary mathematics, ; 565 , 0271-4132

Classificazione

05E1016Exx17Bxx20Cxx20Gxx81Rxx

Disciplina

512/.2

Soggetti

Combinatorial group theory

Representations of groups

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Preface --  Program --  W-algebras at the critical level --  1. Introduction --  2. Associated graded vertex Poisson algebras --  3. BRST cohomology of restricted Wakimoto modules --  4. Proof of Theorems 1.1 and 1.2 --  References --  Highest weight modules at the critical level and noncommutative Springer resolution --  1. Introduction --  2. Noncommutative Springer resolution --  3. Perverse sheaves on the affine flag variety --  4. Results of Frenkel-Gaitsgory and a proof of Theorem 1 --  References --  An orthogonal form for level two Hecke algebras with applications --  1. Introduction --  2. Level one Hecke algebras --  3. Level two Hecke algebras --  4. Khovanov's arc algebra --  5. Category  for Grassmannians --  6. The general linear supergroup --  7. The walled Brauer algebra --  References --  On the restricted projective objects in the affine category  at the critical level --  1. Introduction --  2. Affine Kac-Moody algebras --  3. The deformed category   -- 4. Projective objects in ̂_{ }   -- 5. Block decomposition of ̂ _{ }   --  6. The linkage principle --  References --  Remarks on modular representations of finite groups of Lie type in non-defining characteristic --  1. Introduction --  2. On modular unipotent representations --  3. Principal series representations --  4. On the dimensions of irreducible representations



--  References --  Quantum queer superalgebras -- Toward Berenstein-Zelevinsky data in affine type , Part I: Construction of the affine analogs --Toward Berenstein-Zelevinsky data in affine type , Part II: Explicit description --On tropical dualities in cluster algebras --KKR type bijection for the exceptional affine algebra ₆⁽¹⁾ --Iwahori’s question for affine Hecke algebras --On Weyl modules of cyclotomic -Schur algebras --