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 /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: International Conference on Representation Theory of Algebraic Groups and Quantum Groups Nagoya-shi, Japan
Otros Autores: Ariki, Susumu, 1959-
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, ©2012.
Colección:Contemporary mathematics (American Mathematical Society) ; v. 565.
Temas:
Combinatorial group theory > Congresses.
Representations of groups > Congresses.
Théorie combinatoire des groupes > Congrès.
Représentations de groupes > Congrès.
Combinatorial group theory
Representations of groups
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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. Introduction2. Level one Hecke algebras
  • 3. Level two Hecke algebras
  • 4. Khovanovâ€?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 Kacâ€?Moody algebras
  • 3. The deformed category
  • 4. Projective objects in Ì? _{ }
  • 5. Block decomposition of Ì? _{ }
  • 6. The linkage principle
  • References
  • Remarks on modular representations of finite groups of Lie type in non-defining characteristic1. Introduction
  • 2. On modular unipotent representations
  • 3. Principal series representations
  • 4. On the dimensions of irreducible representations
  • References
  • Quantum queer superalgebras
  • Introduction
  • 1. Queer Lie superalgebra ()
  • 2. Highest weight modules over ()
  • 3. Quantum queer superalgebra _{ }(())
  • 4. Representation Theory of _{ }(())
  • 5. Crystal Bases
  • 6. Semistandard decomposition tableaux
  • References
  • Quantum group actions on rings and equivariant K-theory1. Introduction
  • 2. Equivariant K-theory of quantum group actions
  • 3. Categories of equivariant modules
  • 4. Equivariant K-theory of filtered module algebras
  • 5. Quantum symmetric algebras
  • 6. Quantum homogeneous spaces
  • Acknowledgements
  • References
  • Toward Berenstein-Zelevinsky data in affine type, Part I: Construction of the affine analogs
  • 1. Introduction
  • 2. Berenstein-Zelevinsky data of type _{ }
  • 3. Berenstein-Zelevinsky data of type _{â?ž}
  • 4. Berenstein-Zelevinsky data of type _{â??}â??¹â??5. Appendix
  • References
  • Toward Berenstein-Zelevinsky data in affine type, Part II: Explicit description
  • 1. Introduction
  • Acknowledgement
  • 2. Review on Berenstein-Zelevinsky data associated to finite intervals
  • 3. Berenstein-Zelevinsky data associated to â??
  • 4. Berenstein-Zelevinsky data of type _{ -1}â??¹â??
  • 5. Lusztig data of infinite size and a crystal structure on them
  • 6. BZ data arising from Lusztig data of Infinite size

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