Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory
About this Title
Vyjayanthi Chari, University of California, Riverside, Riverside, CA, Jacob Greenstein, University of Riverside, Riverside, CA, Kailash C. Misra, North Carolina State University, Raleigh, NC, K. N. Raghavan, Institute of Mathematical Sciences, Chennai, India and Sankaran Viswanath, Institute of Mathematical Sciences, Chennai, India, Editors
Publication: Contemporary Mathematics
Publication Year 2013: Volume 602
ISBNs: 978-0-8218-9037-0 (print); 978-1-4704-1105-3 (online)
This volume contains the proceedings of the International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, held August 12–16, 2010, at the National Institute of Advanced Studies, Bangalore, India, and the follow-up conference held May 18–20, 2012, at the University of California, Riverside, CA.
It contains original research and survey articles on various topics in the theory of representations of Lie algebras, quantum groups and algebraic groups, including crystal bases, categorification, toroidal algebras and their generalizations, vertex algebras, Hecke algebras, Kazhdan-Lusztig bases, $q$-Schur algebras, and Weyl algebras.
Graduate students and research mathematicians interested in representation theory, Lie algebras, quantum groups, and algebraic groups.
Table of Contents
- Pramod N. Achar – Kostka systems and exotic -structures for reflection groups
- Dražen Adamović and Antun Milas – The doublet vertex operator superalgebras and
- Bharat Adsul, Milind Sohoni and K. V. Subrahmanyam – Quantum deformations of irreducible representations of toward the Kronecker problem
- Georgia Benkart, Samuel A. Lopes and Matthew Ondrus – A Parametric Family of Subalgebras of the Weyl Algebra II. Irreducible Modules
- Bangming Deng, Jie Du and Alexandre Mah – Generic extensions and composition monoids of cyclic quivers
- Naihuan Jing, Lili Zhang and Ming Liu – Wedge modules for two-parameter quantum groups
- Andrew Mathas and Marcos Soriano – Blocks of the truncated -Schur algebras of type A
- Toshiki Nakashima – Decorated Geometric Crystals, Polyhedral and Monomial Realizations of Crystal Bases
- Erhard Neher and Alistair Savage – A survey of equivariant map algebras with open problems
- Masato Okado – Simplicity and similarity of Kirillov-Reshetikhin crystals
- Brian J. Parshall and Leonard L. Scott – Forced gradings and the Humphreys-Verma conjecture