Atlas home || Conferences | Abstracts | about Atlas

International Conference on Representation Theory, III (ICRT III)
July 31 - August 4, 2004
Sichuan University
Chengdu, Sichuan, China

Organizers
Scientific Committee Chair: Jianpan Wang (East China Normal University, Shanghai, China) Members: Chongying Dong (California at Santa Cruz, USA) Seok-Jin Kang (Korea Institute for Advanced Study, Korea) Jianshu Li (The Hong Kong University of Science and Technology) Zongzhu Lin (Kansas, USA) Jie Xiao (Tsinghua University, Beijing, China) James Zhang (Washington, USA) Jiping Zhang (Peking University, Beijing, China) Orgenizing Committee: Chair: Liangang Peng (Sichuan, Chengdu, China) Members: Jie Du (University of New South Wales, Sydney, Australia) Ze Han (Sichuan, Chengdu, China) Yanan Lin (Xiamen, China) Youjun Tan (Sichuan, Chengdu, China) Ling Zeng (Sichuan, Chengdu, China)

View Abstracts
Conference Homepage

Induced W-graphs
by
Yunchuan Yin
School of Mathematics and Statistics, University of Sydney, N.S.W.2006, Australia
Coauthors: R.Howlett

Let H be the Hecke algebra associated with a Coxeter group W. Many interesting H-modules can be described using the concept of a W-graph, as introduced in the influential paper [KL] of Kazhdan and Lusztig. In particular, Kazhdan and Lusztig showed that the regular representation of H has an associated W-graph. In this presentation, it is shown that if WJ is a parabolic subgroup of W and V is a module for the corresponding Hecke algebra HJ, then a WJ-graph structure for V gives rise to a W-graph structure for the induced module HÄHJV. In the case that WJ is the identity subgroup and V has dimension 1, the construction coincides with that given by Kazhdan and Lusztig for the regular representation, while for arbitrary J and V of dimension 1 it coincides with constructions given by Couillens and Deodhar. This is the joint work with R.Howlett.

Date received: July 28, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caoh-30.