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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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Recent progress for Lie G-tori
by
Yoji Yoshii
University of Wisconsin at Madison

Finite-dimensional isotropic simple Lie algebras are \Delta-graded Lie algebras satisfying a so-called division property. Affine Lie algebras can be characterized as Z-graded Lie algebras, which are also \Delta-graded, have the division property, and satisfy a dimensionality condition for the homogeneous spaces. In this characterization, if we change the additive group Z into any abelian group G, the corresponding Lie algebras are called Lie G-tori. The Lie Zn-tori are exactly the cores of extended affine Lie algebras. I will explain the recent progress about the classification of Lie G-tori.

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 Conferences Inc. Document # cals-23.