Hecke algebras and involutions in Weyl groups
主 题: Hecke algebras and involutions in Weyl groups
报告人: Prof.George Lusztig (Massachusetts Institute of Technology)
时 间: 2012-06-01 14:30-15:30
地 点: 北京国际数学研究中心报告厅（未名湖北岸82号甲乙丙，全斋西边）
This talk is based in part on joint work with D. Vogan. Let W be the Weyl group of a semisimple group. For two elements y,w of W a polynomial P_{y,w} was introduced by Kazhdan and me in the late 1970\'s. This polynomial enters in various character formulas in representation theory. When y,w are involutions it turns out that P_{y,w} splits canonically in the sum of two polynomials. The problem discussed in this talk is about how to compute the two parts of P_{y,w}. It is expected that these results are useful for the theory of unitary representations of complex semisimple groups.
