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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 / edited by Jacob Greenstein, David Hernandez, Kailash C. Misra, Prasad Senesi
(Progress in Mathematics. ISSN:2296505X ; 337)

Edition 1st ed. 2021.
Publisher (Cham : Springer International Publishing : Imprint: Birkhäuser)
Year 2021
Size XXIV, 440 p. 123 illus : online resource
Authors Greenstein, Jacob editor
Hernandez, David editor
Misra, Kailash C editor
Senesi, Prasad editor
SpringerLink (Online service)
Subjects LCSH:Associative rings
LCSH:Associative algebras
LCSH:Nonassociative rings
LCSH:Algebra, Homological
LCSH:Group theory
LCSH:Mathematical physics
FREE:Associative Rings and Algebras
FREE:Non-associative Rings and Algebras
FREE:Category Theory, Homological Algebra
FREE:Group Theory and Generalizations
FREE:Mathematical Physics
Notes Publications of Vyjayanthi Chari -- Students of Vyjayanthi Chari -- Part I: Courses -- String Diagrams and Categorification -- Quantum Affine Algebras and Cluster Algebras -- Part II: Surveys -- Work of Vyjayanthi Chari -- Steinberg Groups for Jordan Pairs - An Introduction with Open Problems -- On the Hecke-Algebraic Approach for General Linear Groups over a p-adic Field -- Part III: Papers -- Categorical Representations and Classical p-adic Groups -- Formulae of l-Divided Powers in Uq(sl2),II -- Longest Weyl Group Elements in Action -- Dual Kashiwara Functions for the B(∞) Crystal in the Bipartite Case -- Lusztig's t-Analogue of weight multiplicity via Crystals -- Conormal Varieties on the Cominuscule Grassmannian -- Evaluation Modules for Quantum Toroidal gln Algebras -- Dynamical Quantum Determinants and Pfaffians
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
HTTP:URL=https://doi.org/10.1007/978-3-030-63849-8
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Springer eBooks 9783030638498
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Material Type E-Book
Classification LCC:QA251.5
DC23:512.46
ID 4000141881
ISBN 9783030638498

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