Speaker : Chih-Whi Chen (National Central University)
Title : Learning Seminar on Kac-Moody Groups: Lie Algebra Homology and Cohomology (II)
Time : 2021-04-09 (Fri) 13:00 - 14:30
Place : Seminar Room 638, Institute of Mathematics (NTU Campus)
Abstract: In this talk, I will introduce the basic theory for Lie algebra (co)homology. We will talk about Garland-Lepowsky's generalization of Kostant's n-homology theorem, which gives another proof to the Weyl-Kac character formula. We will also cover decomposition of the BGG category O and some Ext vanishing results.