Categorical, combinatorial and geometric representation theory and related topics /

This book is the third Proceedings of the Southeastern Lie Theory Workshop Series covering years 2015–21. During this time five workshops on different aspects of Lie theory were held at North Carolina State University in October 2015, the University of Virginia in May 2016, the University of Georgia...

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Bibliographic Details
Other Authors: Achar, Pramod N., 1976- (Editor), Misra, Kailash C., 1954-, Nakano, Daniel K. (Daniel Ken), 1964- (Editor)
Format: Book
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2024].
Series:Proceedings of symposia in pure mathematics ; v. 108.
Subjects:
Table of Contents:
  • Quantum generalized Kac-Moody algebras via Hall algebras of complexes / Jonathan D. Axtell and Kyu-Hwan Lee
  • Cohomology of algebraic groups, Lie algebras, and finite groups of Lie type / Christopher P. Bendel
  • Idempotent modules, locus of compactness, and local supports / Jon F. Carlson
  • Real and symmetric quasi-maps / Tsao-Hsien Chen and David Nadler
  • Support varieties for Lie superalgebras in characteristic 2 / Christopher M. Drupieski and Jonathan R. Kujawa
  • Canonical bases for the modified quantum glm|n / Jie Du, Haixia Gu, and Zhongguo Zhou
  • An exact category approach to Hecke endomorphism algebras / Jie Du, Brian Parshall, and Leonard Scott
  • On two constructions of Gelfand-Tsetlin modules with arbitrary characters / Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez, and Pablo Zadunaisky
  • Lie algebra cohomology of the positive part of twisted affine Lie algebras / Jiuzu Hong and Shrawan Kumar
  • Realizing rings of regular functions via the cohomology of quantum groups / Zongzhu Lin and Daniel K. Nakano
  • ıHall algebras and ıquantum groups / Ming Lu and Weiqiang Wang
  • Unipotent blocks and weighted affine Weyl groups / George Lusztig
  • From conjugacy classes in the Weyl group to representations / George Lusztig and Zhiwei Yun
  • Geometric crystal on unipotent variety / Toshiki Nakashima
  • Difference operators for Wreath MacDonald polynomials / Daniel Orr and Mark Shimozono
  • Universal central extensions of Krichever-Novikov algebras and orthogonal polynomials / Felipe Albino dos Santos, Vyacheslav Futorny, and Kaiming Zhao
  • Notes on Fock space / Peter Tingley.