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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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Representations of a class of Lie Algebra related to the Quantum Torus
by
Shaobin Tan
Department of Mathematics, Xiamen University, Xiamen 361005

Let Cq be the quantum torus, and Der(Cq) the derivation Lie algebra of Cq. We construct a functor from gld-modules to Der(Cq)-modules, which generalizes the constructions of representations for the Lie algebra of derivations over the Laurant polynomial ring C[x±1, ¼, x±n] obtained by Shen, Larsson and Rao. Furthermore we give a complete description of the structure of the Der(Cq)-modules when the entries of the quantum torus matrix q=(qij) are roots of unity.

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-26.