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15th Southeastern Analysis Meeting and Shanks Lecture
May 20-23, 1999
Vanderbilt University
Nashville, TN, USA

Organizers
Daoxing Xia, Dechao Zheng, Eric Schechter

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JB^*-triples, the CAR, and the Lorentz group
by
Bernard Russo
University of California at Irvine

The Canonical Anticommutatin Relations are formulated in the context of Banach Jordan triple systems and then used to construct a spin factor structure on finite dimensional complex Euclidean space. This construction leads to some spin 1/2 and spin 1 representions of the Lorentz group in 3, 4, and 6 dimensions, and suggests a relation between the two types of elementary particles of physics.

Date received: April 28, 1999

Copyright © 1999 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 # cacb-27.