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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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Compare generalized Schur algebras
by
Ming Fang
Department of Mathematics, University of Science and Technology of China, No.96 Jinzhai Road, Hefei Anhui, 230026 China

This is a joint work with Anne Henke and Steffen Koenig

This will be a continuation of Dr. Anne Henke's idea on comparing generalized schur algebras in different degrees. Via Ringel-Duality, we find a large family of isomorphisms between (quantized)generalized schur algebras which help us to identify certain decomposition numbers of (quantum)GLn. In particular, we make these isomorphisms explicit by the combinatorial approach.

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-12.