Proceedings of the International Conference on Geometry, Integrability and Quantization

Star Product and Star Exponential

Toshio Tomihisa and Akira Yoshioka

Abstract

Here we extend the star products by means of complex symmetric matrices. In this way we obtain a family of star products. Next we consider the star exponentials with respect to these star products, and finally we obtain several interesting identities.

Article information

Source
Proceedings of the Eleventh International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Gaetano Vilasi and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2010), 170-180

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436794530

Digital Object Identifier
doi:10.7546/giq-11-2010-170-180

Mathematical Reviews number (MathSciNet)
MR2757932

Zentralblatt MATH identifier
1205.53093

Citation

Tomihisa, Toshio; Yoshioka, Akira. Star Product and Star Exponential. Proceedings of the Eleventh International Conference on Geometry, Integrability and Quantization, 170--180, Avangard Prima, Sofia, Bulgaria, 2010. doi:10.7546/giq-11-2010-170-180. https://projecteuclid.org/euclid.pgiq/1436794530


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