Proceedings of the International Conference on Geometry, Integrability and Quantization

Star Product, Star Exponential and Applications

Akira Yoshioka

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Abstract

We introduce star products for certain function space containing polynomials, and then we obtain an associative algebra of functions. In this algebra we can consider exponential elements, which are called star exponentials. Using star exponentials we can define star functions in the star product algebra. We explain several examples.

Article information

Source
Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2018), 234-249

Dates
First available in Project Euclid: 23 December 2017

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1513998432

Digital Object Identifier
doi:10.7546/giq-19-2018-234-249

Mathematical Reviews number (MathSciNet)
MR3586172

Citation

Yoshioka, Akira. Star Product, Star Exponential and Applications. Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization, 234--249, Avangard Prima, Sofia, Bulgaria, 2018. doi:10.7546/giq-19-2018-234-249. https://projecteuclid.org/euclid.pgiq/1513998432


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