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.
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.
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
