Abstract
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.
Citation
Mari Iida. Akira Yoshioka. "Star Products and Applications." J. Geom. Symmetry Phys. 20 49 - 56, 2010. https://doi.org/10.7546/jgsp-20-2010-49-56
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