Last updated Jan 29

KIAS Winter School on Lie algebras

 

An introduction to Lie algebras and their representations

 

2003. 2.10 – 2.13 Room 1423 in KIAS building

 

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In this winter school, there will be a series of lectures, which introduce the basic notions of Lie algebras and their representations, especially Kac-Moody algebras. The topic of this winter school is one of the essential backgrounds in modern representation theory, which is closely related to algebraic groups, quantum groups, Hecke algebras and Hall algebras etc. This school is intended mainly for beginning graduate students and challenging undergraduate students. The Part I will be based on the book ¡°Introduction to Quantum groups and Crystal bases¡± (Chapter 1, 2) by J. Hong and S.-J. Kang (Graduate Studies in Mathematics vol 42). The lectures will be given in Korean.

 

 

Schedule

 

-Part I  Introduction to Kac-Moody algebras  2.10-2.13  AM 10:30 - 11:45

 

2.10. (Mon) : Lie algebras and their representations  (Seok-Jin Kang, KIAS)

2.11. (Tue) : The special linear Lie algebra sl(n,F)  (Dong-Uy Shin, KIAS)

2.12. (Wed) : Kac-Moody algebras  (Hyeonmi Lee, KIAS)

2.13. (Thu) : Representation theory of Kac-Moody algebras  (Jae-Hoon Kwon, KIAS)

 

-Part II  Introduction to Lie algebras and representation theory  2.10. -2.13  PM 2:30 - 3:45

4 lectures by KyeongHoon Jeong (Univ. of Wisc.)  

 

2.10. (Mon) : Representations of groups

2.11. (Tue) : Lie algebras and groups

2.12. (Wed) : Applications of Lie algebras

2.13. (Thu) : TBA

 

 

List of participants

 

* If you have any question on this winter school,  please contact  jhkwon@kias.re.kr