GONGXIANG LIU
Professor of
Mathematics
Nanjing University
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TEACHING
Classes:
1. 2020.02-2020.06, An Introduction to Representation Theory and Modules, Every Tuesday 14:00-17:00,
Teaching Building (Gulou Campus) 105.
Before Class 1;
 Before Class 2;
 Before Class 3;
 Zhanghao's Note
Lecture 1;
 Lecture 2;
 Lecture 3; 
Lecture 4;
 Lecture 5;
 Lecture 6; 
Lecture 7;
 Lecture 8;
 Lecture 9;
 Lecture 10;
 Lecture11;
 Lecture 12;
 Lecture 13;
Lecture 14;
 Lecture 15;
 Lecture 16;
 Collection of Lectures.
2. 2021.03-2020.06, An Introduction to Representation Theory and Modules, Every Tuesday 14:00-17:00,
Teaching Building (Gulou Campus) 103.
Seminors:
1) An Introduction to Nichols Algebras, 2020.02-2020.06, Every Tuesday 19:00-21:30, West Building (Gulou Campus) 108
(According to situation, the place may change).
Section 4.2; 
Weylgroupoid1; 
Weylgroupoid2; 
Weylgroupoid3; 
Weylgroupoid4; 
Weylgroupoid5; 
2020.09-2021.01, An Introduction to Nichols Algebras, Every Wensday 19:00-21:30, Jia Yi Building (Gulou Campus)
(According to situation, the place may change).
0923; 
1001; 
1008; 
1014.1; 
1014.2; 
1021; 
1029; 
111801; 
111802; 
1126; 
Nichols algebra-collection; 
Part II; 
120901; 
120902; 
1216; 
1223; 
123001; 
123002; 
0106; 
0113; 
2021.03-2021.07, Hopf Algebras and Root Systemss, Every Wensday 19:00-21:30, Online,
(According to situation, the place may change).
0310; 
0317; 
0325; 
0331; 
0407; 
0414; 
0421; 
0505; 
0512; 
0616; 
062301; 
062302; 
0708; 
071401; 
071402; 
0728; 
2021.09-2022.02, Hopf Algebras and Root Systemss, Every Wensday 19:3 0-21:30, Online,
(According to situation, the place may change).
090901; 
090902; 
0922; 
0929; 
2) Infinite Dimensional Lie Algebras, Kac's Book,
2020.02-2020.06, Every Sunday 8:30-11:30, West Building (Gulou Campus) 308
(According to situation, the place may change).
Lecture 1; 
Lecture 2; 
Lecture 3; 
Lecture 4; 
Lecture 5; 
Lecture 6; 
Lecture 7; 
Lecture 8; 
Lecture 9; 
Lecture 10; 
Lecture 11; 
Lecture 12; 
Lecture 13; 
Sec10.09-10; 
Sec11.1-11.2; 
Sec11.3-11.6; 
Sec11.7-11.8; 
2020.09-2021.01, Infinite Dimensional Lie Algebras, Kac's Book, Every Saturday 8:30-11:30, West Building (Gulou Campus) 308
(According to situation, the place may change).
Sec11.9; 
Sec11.11-12; 
Sec12.01-02; 
Sec12.03-04; 
Sec12.05-06; 
Sec12.07; 
Sec12.08; 
Sec12.09-10; 
Sec12.11-12; 
Sec13.01-02; 
Sec13.03; 
Sec13.04-05; 
Sec13.06; 
Sec14.06; 
2021.03-2021.06, Infinite Dimensional Lie Algebras, Kac's Book, Every Sunday 9:00-11:30, West Building (Gulou Campus) 308
(According to situation, the place may change).
3) Tensor Category, EGNO's Book, 2021.06-present,
Every Sunday 9:00-11:30, West Building (Gulou Campus) 308
(According to situation, the place may change).
Coend; 
Deligne's box; 
Exe1&A2021; 
2.120210718; 
0725; 
080101; 
080102; 
2021.09-2022.02, Tensor Categories, Every Sunday 9:00-11:30, West Building 308,
(According to situation, the place may change).
0912; 
2022.02-2022.07, Tensor Categories, Every Sunday 9:00-11:30, West Building 308,
(According to situation, the place may change).
0320; 
0327; 
0515; 
2023.02-2023.07, Tensor Categories, Every Friday 19:00-21:00, On line,
4) Triangulated Category, Pu Zhang's Book, 2021.06-present,
Every Friday 19:30-21:30, On line.
1126; 
1205; 
1210; 
1217; 
1224; 
1231; 
2022.02-2022.07, Triangulated Category, Pu Zhang's Book,
Every Friday 19:30-21:30, On line.
0218; 
0226; 
0226; 
0226; 
0309; 
0316; 
0325; 
0401; 
0409; 
0415; 
0429; 
5) Tilting Theory, 2023.02-present,
Every Sunday 9:00-11:30, West Building 308.
6) Vertex Operator Algebras, The book written by Lepowsky and Haisheng Li 2023.10-present,
Every Sunday 9:00-11:30, West Building 308.
Hints For EGNO's Book.
Ex.3.1.5; 
Ex.3.3.2; 
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