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Interactions of quantum affine algebras with cluster algebras, current algebras and categorification : in honor of Vyjayanthi Chari on the occasion of her 60th birthday [Documento eletrónico] / edited by Jacob Greenstein ... [et al.]. - Cham : Springer International Publishing : Birkhäuser , 2021 . - XXIV, 440 p. : il.. - (Progress in Mathematics) ; 337 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 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.

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ISBN 978-3-030-63849-8

Associative rings
Associative algebras
Nonassociative rings
Algebra, Homological
Group theory
Mathematical physics

LCC QA251.5