Recent developments in algebraic and combinatorial aspects of representation theory : International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, August 12-16, 2010, National Institute of Advanced Studies, Bangalore, India : Conference on Algebraic and Combinatorial Approaches to Representation Theory, May 18-20, 2012, University of California, Riverside, CA / / Vyjayanthi Chari [and four others], editors

• Record Nr.: UNINA9910480021203321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2013; ©2013
• ISBN: 1-4704-1105-9
• Descrizione fisica: 1 online resource (222 p.)
• Collana: Contemporary Mathematics, , 1098-3627 ; ; Volume 602
• Disciplina: 515/.7223
• Soggetti: Associative rings; Partially ordered sets; Nonassociative rings; Electronic books.
• 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: ""Chapter 1. Preface""; ""Kostka systems and exotic -structures for reflection groups""; ""1. Introduction""; ""2. Notation and preliminaries""; ""3. Triangulated subcategories associated to a phylum""; ""4. Results from the geometry of generalized Springer correspondences""; ""5. Module categories associated to a phylum""; ""6. Main results""; ""References""; ""The doublet vertex operator superalgebras ( ) and _{2, }""; ""1. Introduction""; ""2. The vertex (super)algebra ( )""; ""3. On intertwining operators for ( )""; ""4. Classification of irreducible ( )â€?modules""; ""5. The Zhuâ€?s algebra ( ( )): =4 +2""""6. The triplet vertex algebra _{2, } and its modules""; ""7. The doublet vertex superalgebra _{2, }.""; ""References""; ""Quantum deformations of irreducible representations of ( ) toward the Kronecker problem""; ""1. ; Introduction""; ""2. Preliminaries""; ""3. Wedge Modules""; ""4. Crystal basis for â?_{ }^{ }( )""; ""5. Construction of _{ , }( )""; ""6. Research announcement""; ""Appendix A. An example""; ""References""; ""A Parametric Family of Subalgebras of the Weyl Algebra II. Irreducible Modules""; ""1. Introduction""""2. Modules for Ore Extensions""; ""3. Indecomposable _{ }-modules""; ""4. Generalized Weight Modules for _{ }""; ""5. Primitive Ideals of _{ }""; ""6. Irreducible _{ }-modules when ( )=0""; ""7. Irreducible _{ }-modules when ( )= >0""; ""8. The Combinatorics of ^{ }( )""; ""References""; ""Generic extensions and composition monoids of cyclic quivers""; ""1. Introduction""; ""2. The generic extension monoid of \tri_{ }""; ""3. Degenerate composition algebras of \tri_{ }""; ""4. A presentation for the composition monoid of \triâ??""; ""References""""Wedge modules for two-parameter quantum groups""; ""1. Introduction""; ""2. Two-parameter quantum group _{ , }( _{ }) and R-matrix""; ""3. Yang-Baxterization""; ""4. ( , )-wedge modules of _{ , }( _{ })""; ""Acknowledgments""; ""References""; ""Blocks of the truncated -Schur algebras of type A""; ""1. Introduction""; ""2. Jantzen equivalence and blocks""; ""3. Combinatorics and Jantzen equivalence for Schur algebras""; ""Acknowledgement""; ""References""; ""Decorated Geometric Crystals, Polyhedral and Monomial Realizations of Crystal Bases""; ""1. Introduction""""2. Crystal and its polyhedral realization""; ""3. Decorated geometric crystals""; ""4. Explicit form of the decoration _{ } of type _{ }""; ""5. Ultra-Discretization and Polyhedral Realizations of type _{ }""; ""6. Elementary Characters and Monomial Realization of Crystals""; ""References""; ""A survey of equivariant map algebras with open problems""; ""Introduction""; ""1. General equivariant map algebras""; ""2. Equivariant map associative algebras""; ""3. Equivariant map Lie algebras""; ""4. Open problems""; ""References""; ""Simplicity and similarity of Kirillov-Reshetikhin crystals""