Quantized flag manifolds and representations of quantum groups
T. Tanisaki
報告人簡介
T.Tanisaki是國際知名數(shù)學家，主要研究李代數(shù)、代數(shù)群、量子群及表示理論。
內容簡介
I will give an account of my result on Lusztig's conjectural multiplicity formula for the modules over the De Concini-Kac type quantized enveloping algebras at roots of unity. In the first half I will give an account of some standard facts on the representation theory of the De Concini-Kac type quantized enveloping algebras at roots of unity. In the second half I will explain how we can use $D$-modules on the quantized flag manifolds in the representation theory of the quantized enveloping algebras.
