Kailash C. Misra

Vyjayanthi Chari

Jacob Greenstein

K. N. Raghavan

Sankaran Viswanath

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.

Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory

David Hernandez

Springer Nature

Prasad Senesi

This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues, in celebration of the impact Vyjayanthi Chari has had on this area. The opening chapters are based on mini-courses given at the conference Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification, held on the occasion of Charis 60th birthday at the Catholic University of America in Washington D.C., June 2018. The chapters that follow present a broad view of the area, featuring surveys, original research, and an overview of Vyjayanthi Charis significant contributions. Written by distinguished experts in representation theory, a range of topics are covered, including: String diagrams and categorification Quantum affine algebras and cluster algebras Steinberg groups for Jordan pairs Dynamical quantum determinants and Pfaffians Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification will be an ideal resource for researchers in the fields of representation theory and mathematical physics.

In Honor of Vyjayanthi Chari on the Occasion of Her 60th Birthday

Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification

Jacob Greenstein

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