Representation theory of finite-dimensional Lie algebras and superalgebras part 2
We will study the classification of finite-dimensional representations of semi-simple Lie algebras via highest weight. Then we will discuss the representation theory of Lie algebras of some special types, in particular Schur-Weyl duality. Then we will go to Lie superalgebras and will discuss the structure of their representations. If we will have enough time we will discuss Sergeev duality and papers of Brundan-Stroppel.
讲师
日期
2025年02月19日 至 05月22日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周四,周三 | 15:20 - 16:55 | A3-2a-201 | ZOOM 07 | 559 700 6085 | BIMSA |
修课要求
Linear algebra, Coxeter groups, Root systems, lattices, classification of finite-dimensional Lie algebras.
参考资料
Humphreys J. E. Introduction to Lie Algebras and Representation Theory
arXiv:0907.2543 Highest weight categories arising from Khovanov's diagram algebra IV: the general linear supergroup, Jonathan Brundan, Catharina Stroppel.
arXiv:0907.2543 Highest weight categories arising from Khovanov's diagram algebra IV: the general linear supergroup, Jonathan Brundan, Catharina Stroppel.
听众
Undergraduate
, Advanced Undergraduate
, Graduate
, 博士后
, Researcher
视频公开
公开
笔记公开
不公开
语言
英文
讲师介绍
Ievgen Makedonskyi于俄罗斯高等经济研究大学获得数学博士学位，先后在俄罗斯高等经济研究大学、马克斯普朗克数学研究所、东京大学、斯科尔科沃科技大学、德国耶拿大学任职，2022年加入北京雁栖湖应用数学研究院任助理研究员，研究兴趣包括李代数、多项式导子、仿射Kac-Moody李代数、Weyl和Demazure模、非对称Macdonald多项式、近世代数、弧簇等。