Rota–Baxter operators of nonzero weight on the matrix algebra of order three

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Abstract

We classify all Rota–Baxter operators of nonzero weight on the matrix algebra of order three over an algebraically closed field of characteristic zero which do not arise from the decompositions of the entire algebra into a direct vector space sum of two subalgebras.

Original languageEnglish
Number of pages26
JournalLinear and Multilinear Algebra
DOIs
Publication statusPublished - 9 Apr 2020

Keywords

  • 16W99
  • matrix algebra
  • Rota–Baxter operator
  • sum of fields
  • Rota-Baxter operator
  • EQUATION
  • BIALGEBRAS

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