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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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Modular representations of Hecke algebras of type G(p, p, n)
by
Jun Hu
Department of Applied Mathematics, Beijing Institute of Technology, Beijing 10081, China

We shall talk about modular representations of the cyclotomic Hecke algebras of type G(p, p, n). In the separated case, all the simple modules are classified; while in the non-separated case, we get a complete labelling of all the simple modules. A closed formula for the number of simple modules over these cyclotomic Hecke algebras is also obtained. Our main tools are crystal bases theory of Fock space over certain quantum affine algebras and S. Ariki's deep result on Lascoux-Leclerc-Thibon's Conjecture. Our results generalize earlier work of [J. Hu, J. Algebra 267 (2003) 7-20] and of [M. Geck, Represent. Theory 4 (2000) 370-397] on Hecke algebras of type Dn.

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-16.