XXXII Workshop on Geometric Methods in Physics 30.06-6.07.2013

Akira Yoshioka

Star products, star exponentials and applications

In this short talk, we give an introduction to star produts parametrized by complex symmetric matrices.

We extend the typical star product such as Moyal product and we define a family of star products depending on complex symmetric matrices. We give a geometric picutre for a family of star prdoucts.

In troducing a topology into star product algebras, we consider exponential elements for the extended complete algebra. We show exaples of star exponentials and disscuss their application.

Event sponsored by:
Belgian Science Policy Office     PAI          University
of Bialystok
University of Bialystok

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