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El. knyga: 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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  • Formatas: EPUB+DRM
  • Serija: Progress in Mathematics 337
  • Išleidimo metai: 11-Mar-2022
  • Leidėjas: Springer Nature Switzerland AG
  • Kalba: eng
  • ISBN-13: 9783030638498
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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 birthdayDidesnis paveikslėlis
  • Formatas: EPUB+DRM
  • Serija: Progress in Mathematics 337
  • Išleidimo metai: 11-Mar-2022
  • Leidėjas: Springer Nature Switzerland AG
  • Kalba: eng
  • ISBN-13: 9783030638498
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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.
Part I Courses
String Diagrams and Categorification
3(34)
Alistair Savage
Quantum Affine Algebras and Cluster Algebras
37(32)
David Hernandez
Bernard Leclerc
Part II Surveys
Work of Vyjayanthi Chari
69(8)
Jacob Greenstein
David Hernandez
Steinberg Groups for Jordan Pairs: An Introduction with Open Problems
77(38)
Erhard Neher
On the Hecke-Algebraic Approach for General Linear Groups Over a p-Adic Field
115(32)
Maxim Gurevich
Part III Papers
Categorical Representations and Classical p-Adic Groups
147(34)
Michela Varagnolo
Eric Vasserot
Formulae of t-Divided Powers in Vq (sh), II
181(64)
Weiqiang Wang
Collin Berman
Longest Weyl Group Elements in Action
245(32)
Yiqiang Li
Yan Ling
Dual Kashiwara Functions for the B(∞) Crystal in the Bipartite Case
277(46)
Anthony Joseph
Lusztig's?-Analogue of Weight Multiplicity via Crystals
323(36)
Cedric Lecouvey
Cristian Lenart
Conormal Varieties on the Cominuscule Grassmannian
359(34)
V. Lakshmibai
Rahul Singh
Evaluation Modules for Quantum Toroidal gIn Algebras
393(34)
Boris Feigin
Michio Jimbo
Evgeny Mukhin
Dynamical Quantum Determinants and Pfaffians
427
Naihuan Jing
Jian Zhang
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