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.
Information
Published: 1 January 2007
First available in Project Euclid: 13 July 2015
zbMATH: 1119.15016
MathSciNet: MR2341395
Digital Object Identifier: 10.7546/giq-8-2007-292-301
Rights: Copyright © 2007 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
