Proceedings of the International Conference on Geometry, Integrability and Quantization

Algebras With Polynomial Identities and Bergman Polynomials

Tsetska G. Rashkova

Abstract

This paper is an introduction to the theory of algebras with polynomial identities. It stresses on matrix algebras and polynomial identities for them. The notion of Bergman polynomials is introduced. Such types of polynomials are investigated being identities for algebras with symplectic involution. In the Lie case more information is given for Bergman polynomials as Lie identities for the considered algebras.

Article information

Source
Proceedings of the Eighth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Manuel de León, eds. (Sofia: Softex, 2007), 292-301

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436792836

Digital Object Identifier
doi:10.7546/giq-8-2007-292-301

Mathematical Reviews number (MathSciNet)
MR2341395

Zentralblatt MATH identifier
1119.15016

Citation

Rashkova, Tsetska G. Algebras With Polynomial Identities and Bergman Polynomials. Proceedings of the Eighth International Conference on Geometry, Integrability and Quantization, 292--301, Softex, Sofia, Bulgaria, 2007. doi:10.7546/giq-8-2007-292-301. https://projecteuclid.org/euclid.pgiq/1436792836


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