学术报告

题目：W-graph representations for Coxeter groups and Hecke algebras

报告人：尹允川博士
(The University of Sydney)

摘要：The "W-graph" concept was introduced by Kazhdan and
Lusztig in their influential paper published in 1979. If W is a Coxeter group then a W-graph provides a method for constructing a matrix representation of the Hecke
algebra associated with W, they also showed, among other things, that any irreducible representation of Hecke algebra of type A_n can be afforded by a W-graph. But this is a optimal picture that can hope for. In 1984, Gyoja showed that any irreducible representation of Hecke algebra of any finite Weyl group can be afforded by a W-graph, but this is a pure existence result, and the question remained open of how to construct such W-graphs explicitly. In this talk I will provide a general method for producing W-graphs by
induction of W-graphs from parabolic subgroups, and showed that this method is sufficiently powerful to give explicit W-graphs for all irreducible representations of Hecke algebras of type E_6, E_7.E_8.

时间：2005年5月11日上午10：00
地点：理科大楼A1414

欢迎大家参加！

数学系
2005.5.10