Open Access
2010 Star Products and Applications
Mari Iida, Akira Yoshioka
J. Geom. Symmetry Phys. 20: 49-56 (2010). DOI: 10.7546/jgsp-20-2010-49-56


Star products parametrized by complex matrices are defined. Especially commutative associative star products are treated, and star exponentials with respect to these star products are considered. Jacobi's theta functions are given as infinite sums of star exponentials. As application, several concrete identities are obtained by properties of the star exponentials.


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Mari Iida. Akira Yoshioka. "Star Products and Applications." J. Geom. Symmetry Phys. 20 49 - 56, 2010.


Published: 2010
First available in Project Euclid: 25 May 2017

zbMATH: 1216.53081
MathSciNet: MR2780240
Digital Object Identifier: 10.7546/jgsp-20-2010-49-56

Rights: Copyright © 2010 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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