Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification: In honor of Vyjayanthi Chari on the occasion of her 60th birthday

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...

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description 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 Chari's 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 Chari's significant contributions. Written by distinguished experts in representation theory, a range of topics are covered, including:String diagrams and categorificationQuantum affine algebras and cluster algebrasSteinberg groups for Jordan pairsDynamical quantum determinants and PfaffiansInteractions 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.
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subjects Affine algebraic groups
Algebra & number theory
Associative Rings and Algebras
Categories (Mathematics)
Category Theory, Homological Algebra
Cluster algebras
Group Theory and Generalizations
Mathematical Physics
Mathematics
Mathematics and Statistics
Non-associative Rings and Algebras
title Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification: In honor of Vyjayanthi Chari on the occasion of her 60th birthday
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