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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
BuchGebunden
440 Seiten
Englisch
Springererschienen am12.03.20221st ed. 2021
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.mehr
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Produkt

KlappentextThis 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.
Details
ISBN/GTIN978-3-030-63848-1
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2022
Erscheinungsdatum12.03.2022
Auflage1st ed. 2021
ReiheProgress in Mathematics
Seiten440 Seiten
SpracheEnglisch
IllustrationenXXIV, 440 p. 123 illus.
Artikel-Nr.49062266

Inhalt/Kritik

Inhaltsverzeichnis
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(â) 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.mehr

Schlagworte