Rota–Baxter Operators on the Simple Jordan Superalgebra Dt

T. A. Bolotina, V. Yu Gubarev

Research output: Contribution to journalArticlepeer-review

Abstract

Up to conjugation by an automorphism, we describethe Rota–Baxter operators of weight zero or nonzeroon the simple four-dimensional Jordan superalgebra $ D_{t} $over an algebraically closed field of characteristic 0.The description includes the classification of all decompositions of $ D_{t} $into a direct sum of two subalgebras.

Original languageEnglish
Pages (from-to)637-650
Number of pages14
JournalSiberian Mathematical Journal
Volume63
Issue number4
DOIs
Publication statusPublished - Jul 2022

Keywords

  • 512.554.7
  • decomposition into a sum of subalgebras
  • Jordan superalgebra
  • Rota–Baxter operators

OECD FOS+WOS

  • 1.01 MATHEMATICS

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