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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)

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Irreducible restrictions for symmetric groups and their double covers
by
Aaron Phillips
Department of Mathematics, University of Virginia, Charlottesville, Virginia 22903, USA

Let F be an algebraically closed field (usually of prime characteristic) and let H be a finite group. A natural and important problem in representation theory is to determine when the restriction of an irreducible FH-module D to a subgroup G < H remains irreducible.

We review what is known when H is a symmetric or alternating group, or a central extension of one of these groups - these cases are important to the study of the subgroup structure of the finite classical groups. We will discuss an interesting special case in characteristic 2, and also address some remarkable connections to the combinatorics of crystal graphs and representations of affine Hecke algebras.

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-23.