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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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Automorphism groups of lattice type vertex operator algebras
by
Robert L. Griess, Jr.
Department of Mathematics , University of Michigan, Ann Arbor, MI 48109-1003, USA

We describe general structure results about automorphism groups of VOAs, especially lattice type VOAs, including the theory that an automorphism group of a finitely generated VOA is an algebraic group, the theory of framed VOAs and the associated frame stabilizers.

It is typically hard to determine automorphism groups of VOAs, even ones made from familiar VOAs. We review particular lattice type VOAs and analysis of their automorphism groups, including work on ranks 1 and 2 and on special higher ranks, mainly 8, 16, 24, 32. Nonassociative finite dimensional algebras frequently play a role.

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-34.