Overview of Representation theory

I was invited to give several lectures on representation theory for my undergraduate friends. Here are the slides. There would be some uploading for sake of mistakes or typo.

Lecture 0 

The Schedule

Lecture 1 

Structure of algebras and groups (I)

Slide: Lecture_1(20200709).pdf 

Remark: semisimple algebras

Date: 2020 July 9

Lecture 2 

Structure of algebras and groups (II)

Slide: Lecture_2(20200725)(2).pdf

Remark: Lie groups and Lie algebras

Date: 2020 July 13

Lecture 3 

Representation of finite groups (I) 

Slide: Lecture_3(20200716).pdf 

Remark: general results

Date: 2020 July 16

Lecture 4 

Representation of finite groups (II)

Slide: Lecture_4(20200720).pdf

Remark: symmetric group

Date: 2020 July 20

Lecture 5 

Representation of Lie algebras (I)

Slide: Lecture_5(20200725)(2).pdf

Remark: general results

Date: 2020 July 25

Lecture 6 

Representation of Lie algebras (II)

Slide: Lecture_6(20200730).pdf

Remark: special linear algebra

Date: 2020 July 28

Lecture 7 

Structure of algebras and groups (III)

Slide: Lecture_7(20200720).pdf

Remark: associative algebras

Date: 2020 July 31

Lecture 8 

Representation of associative algebras (I) 

Slide: Lecture_8(20200803).pdf

Remark: Auslander--Reiten quivers

Date: 2020 August 3

Lecture 9 

Representation of associative algebras (II) 

Slide: Lecture_9(20200803).pdf

Remark: hereditary algebras

Date: 2020 August 3

I hope there will be more such lectures like ``overview of algebraic topology'', ``overview of number theory'', ``overview of geometry'' etc showing the big picture and presenting the knowledge an undergraduate student could know. 

posted @ 2020-07-21 07:09  XiongRui  阅读(942)  评论(0编辑  收藏  举报