Journal of Geometry and Symmetry in Physics

Star Products and Applications

Mari Iida and Akira Yoshioka

Full-text: Open access

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.

Article information

Source
J. Geom. Symmetry Phys., Volume 20 (2010), 49-56.

Dates
First available in Project Euclid: 25 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.jgsp/1495677846

Digital Object Identifier
doi:10.7546/jgsp-20-2010-49-56

Mathematical Reviews number (MathSciNet)
MR2780240

Zentralblatt MATH identifier
1216.53081

Citation

Iida, Mari; Yoshioka, Akira. Star Products and Applications. J. Geom. Symmetry Phys. 20 (2010), 49--56. doi:10.7546/jgsp-20-2010-49-56. https://projecteuclid.org/euclid.jgsp/1495677846


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