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; University of Virginia in May 2016; University of Georgia in June 2018; Louisiana State University in May 2019; and College of Charleston in October 2021.
Some of the articles by experts in the field describe recent developments while others include new results in categorical, combinatorial, and geometric representation theory of algebraic groups, Lie (super) algebras, and quantum groups, as well as on some related topics. The survey articles will be beneficial to junior researchers. This book will be useful to any researcher working in Lie theory and related areas.
Jonathan D. Axtell and Kyu-Hwan Lee, Quantum generalized Kac-Moody
algebras via Hall algebras of complexes
Christopher P. Bendel, Cohomology of algebraic groups, Lie algebras, and
finite groups of Lie type
Jon F. Carlson, Idempotent modules, locus of compactness and local supports
Tsao-Hsien Chen and David Nadler, Real and symmetric quasi-maps
Christopher M. Drupieski and Jonathan R. Kujawa, Support varieties for Lie
superalgebras in characteristic 2
Jie Du, Haixia Gu, and Zhongguo Zhou, Canonical bases for the modified quatum
$\mathfrak{gl}_{m|n}$
Jie Du, Brian Parshall, and Leonard Scott, An exact category approach to
Hecke endomorphism algebras
Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez, and Pablo
Zadunaisky, On two constructions of Gelfand-Tsetlin modules with arbitrary
characters
Jiuzu Hong and Shrawan Kumar, Lie algebra cohomology of the positive part of
twisted affine Lie algebras
Zongzhu Lin and Daniel K. Nakano, Realizing rings of regular functions via
the cohomology of quantum groups
Ming Lu and Weiqiang Wang, $\imath$Hall algebras and $\imath$quantum groups
George Lusztig, Unipotent blocks and weighted affine Weyl groups
George Lusztig and Zhiwei Yun, From conjugacy classes in the Weyl group to
representations
Toshiki Nakashima, Geometric crystal on unipotent variety
Daniel Orr and Mark Shimozono, Difference operators for wreath Macdonald
polynomials
Felipe Albino Dos Santos, Vyacheslav Futorny, and Kaiming Zhao, Universal
central extensions of Krichever-Novikov algebras and orthogonal polynomials
Peter Tingley, Notes on Fock space
Pramod N. Achar, Louisiana State University, Baton Rouge, LA, Kailash C. Misra, North Carolina State University, Raleigh, NC, and Daniel K. Nakano, University of Georgia, Athens, GA.
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