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

In honor of Vyjayanthi Chari on the occasion of her 60th birthday

Jacob Greenstein, David Hernandez, Kailash C. Misra, Prasad Senesi (Herausgeber)

Buch | Hardcover

XXIV, 440 Seiten

2022 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-63848-1 (ISBN)

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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.

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.

Erscheinungsdatum	14.03.2022
Reihe/Serie	Progress in Mathematics
Zusatzinfo	XXIV, 440 p. 123 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	827 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Naturwissenschaften ► Physik / Astronomie
Schlagworte	Categorification representation • cluster algebras • Dynamical quantum groups • Hecke algebra p-adic field • Kashiwara functions • Lusztig crystals • Monoidal Categories • Quantum affine algebras • Quantum affine algebras representation • quantum groups • Steinberg groups • string diagrams • Vyjayanthi Chari quantum algebra • Vyjayanthi Chari representation theory • Weyl group Cartan matrix
ISBN-10	3-030-63848-0 / 3030638480
ISBN-13	978-3-030-63848-1 / 9783030638481
Zustand	Neuware