摘要 Let g be a complex semisimple finite dimensional Lie algebra, and consider a category of representations of g where a Kazhdan-Lusztig algorithm exists for integral regular infinitesimal characters. In this talk, we will discuss a potential approach for extending the integral algorithm to arbitrary non-integral regular infinitesimal characters, using intertwining functors. We will then apply this approach to Whittaker modules and demonstrate the nonintegral algorithm there using an explicit example.

邀请人：杜承宇