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Workshop and Conference on Infinite Dimensional Lie Theory and Its Applications
July 17-25, 2003
The Fields Institute
Toronto, ON, Canada

Organizers
B. Allison (Alberta), S. Berman (Saskatoon), Y. Billig (Carleton), Y. Gao (York), E. Neher (Ottawa), A. Pianzola (Alberta)

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Generalized Moonshine for the Baby Monster
by
Gerald Hoehn
Albert-Ludwigs-Universitt Freiburg

I will explain Nortons generalized Moonshine conjecture and present a proof for the case related to the Baby Monster. The main steps are the construction of the Baby Monster Lie algebra with the help of a vertex algebra and the use of the no-ghost theorem from string theory to identify the denominator identity of the constructed Lie algebra. As an application, the Thompson series of the shorter Moonshine module are determined and it is shown that the even vertex operator subalgebra is of class S^7 in the sense of Matsuo.

Date received: July 8, 2003

Copyright © 2003 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 Mathematical Conference Abstracts. Document # cals-20.