Weak identities in the algebra of symmetric matrices of order two

Vesselin S. Drensky

Weak identities in the algebra of symmetric matrices of order two

Rings and Algebras 2020-09-01 v1

Authors: Vesselin S. Drensky

Abstract

We describe the weak polynomial identities of the Jordan algebra of symmetric $2\times 2$ matrices over a field of characteristic zero. The corresponding weak verbal ideal is generated by the standard identity of degree four and the metabelian identity.

Keywords

weak polynomial identities Jordan algebra symmetric matrices verbal ideal standard identity metabelian identity

Cite

@article{arxiv.2008.13286,
  title  = {Weak identities in the algebra of symmetric matrices of order two},
  author = {Vesselin S. Drensky},
  journal= {arXiv preprint arXiv:2008.13286},
  year   = {2020}
}

Comments

This is an English translation of the paper originally published in Russian. The Russian original can be freely downloaded from http://www.math.bas.bg/pliska/Pliska-08/Pliska-08-1986-077-084.pdf

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