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Softcover ISBN:  9780821890370 
Product Code:  CONM/602 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
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Product Code:  CONM/602.E 
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AMS Member Price:  $100.00 
Softcover ISBN:  9780821890370 
eBook ISBN:  9781470411053 
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Book DetailsContemporary MathematicsVolume: 602; 2013; 211 ppMSC: Primary 16; 17; 20
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 followup 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, KazhdanLusztig bases, \(q\)Schur algebras, and Weyl algebras.
ReadershipGraduate students and research mathematicians interested in representation theory, Lie algebras, quantum groups, and algebraic groups.

Table of Contents

Articles

Pramod N. Achar — Kostka systems and exotic $t$structures for reflection groups

Dražen Adamović and Antun Milas — The doublet vertex operator superalgebras $\mathcal {A}(p)$ and $\mathcal {A}_{2,p}$

Bharat Adsul, Milind Sohoni and K. V. Subrahmanyam — Quantum deformations of irreducible representations of $GL(mn)$ 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 twoparameter quantum groups

Andrew Mathas and Marcos Soriano — Blocks of the truncated $q$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 KirillovReshetikhin crystals

Brian J. Parshall and Leonard L. Scott — Forced gradings and the HumphreysVerma conjecture


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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 followup 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, KazhdanLusztig bases, \(q\)Schur algebras, and Weyl algebras.
Graduate students and research mathematicians interested in representation theory, Lie algebras, quantum groups, and algebraic groups.

Articles

Pramod N. Achar — Kostka systems and exotic $t$structures for reflection groups

Dražen Adamović and Antun Milas — The doublet vertex operator superalgebras $\mathcal {A}(p)$ and $\mathcal {A}_{2,p}$

Bharat Adsul, Milind Sohoni and K. V. Subrahmanyam — Quantum deformations of irreducible representations of $GL(mn)$ 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 twoparameter quantum groups

Andrew Mathas and Marcos Soriano — Blocks of the truncated $q$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 KirillovReshetikhin crystals

Brian J. Parshall and Leonard L. Scott — Forced gradings and the HumphreysVerma conjecture