Proceedings of the International Conference on Geometry, Integrability and Quantization

Star Product and Applications

Mari Iida and Akira Yoshioka

Abstract

A family of star products parametrized by complex matrices is 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
Proceedings of the Twelfth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Gaetano Vilasi and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2011), 244-251

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436815625

Digital Object Identifier
doi:10.7546/giq-12-2011-244-251

Mathematical Reviews number (MathSciNet)
MR

Zentralblatt MATH identifier
1382.53027

Citation

Iida, Mari; Yoshioka, Akira. Star Product and Applications. Proceedings of the Twelfth International Conference on Geometry, Integrability and Quantization, 244--251, Avangard Prima, Sofia, Bulgaria, 2011. doi:10.7546/giq-12-2011-244-251. https://projecteuclid.org/euclid.pgiq/1436815625


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