Representation theory of finite-dimensional Lie algebras and superalgebras
During the course I will talk about the structure of finite-dimensional Lie algebras and their representation theory. We will classify simple finite-dimensional Lie algebras and superalgebras and their irreducible representations. I will explain all the results on thespecial linear Lie algebras and superalgebras. If I will have time I will explain some advanced properties of Lie superalgebras such as results of Brundan-Stroppel, Sergeev duality.
Lecturer
Date
14th October ~ 31st December, 2024
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday,Thursday | 13:30 - 15:05 | A3-1a-205 | ZOOM 07 | 559 700 6085 | BIMSA |
Prerequisite
Linear algebra, Coxeter groups
Reference
Goto, Grosshans. Semisimple Lie algebras.
Audience
Undergraduate
, Advanced Undergraduate
, Graduate
, Postdoc
Video Public
Yes
Notes Public
Yes
Language
English
Lecturer Intro
Ievgen Makedonskyi obtained a PhD degree in mathematics from the Russian University of Advanced Economic Research and then worked at the Russian University of Advanced Economic Research, the Max Planck Institute of Mathematics, the University of Tokyo, Skolkovo University of Science and Technology, and Jena University in Germany. In 2022, he joined the Yanqi Lake Beijing Institute of Mathematical Sciences and Applications as an assistant professor. His research interests include Lie algebra, polynomial derivation, affine Kac Moody Lie algebra, Weyl and Demazure module Asymmetric Macdonald polynomials, recent algebras, arc varieties, etc.