Representation Theory
图片
Evgeny Smirnov
Higher School of Economics
Abstract: Representation Theory studies abstract algebraic structures, such as groups or rings, by representing their elements as linear transformations of vector spaces. It is a fundamental tool to study groups, algebras and their actions using linear algebra.
Representation Theory plays an important role in many recent developments of mathematics and theoretical physics. In our course we introduce basic concepts and results of the classical theories of complex representations of finite groups, Lie groups and Lie algebras.
The course consists of three parts. The first part is devoted to representation theory of finite groups; we will use this example to get acquainted with the fundamental concepts of the theory, to be generalized later. In the second part, we will discuss the representation theory of algebras in general and then study in detail the so-called path algebras of quivers and apply this to problems of linear algebra. In the final part, we study representations of Lie groups and Lie algebras.
Time：Mondays 15:10-17:00
Thursdays 18:40-20:30
Join Zoom Meeting：
https://us02web.zoom.us/j/6687697417?pwd=aCszVjJ6YlBDRmJBdE5SVTJydWF1UT09
Meeting ID：668 769 7417
Password：123451
助教联系方式另行通知
------update
课程主页
http://me.hse.ru/esmirnov/reptheory/
课程材料和录像链接：
https://disk.pku.edu.cn:443/link/EFB541F8F4E3C0D5723B713D7F4BECCE
pku的校内网盘居然是外网随便访问的，不错不错
※ 修改:·vinbo 于 Sep 5 22:50:46 2022 修改本文·[FROM: 211.161.249.*]
※ 来源:·水木社区
http://www.mysmth.net·[FROM: 211.161.249.*]
修改:vinbo FROM 211.161.249.*
FROM 211.161.249.*