Abstract

We extend the correspondence between double Lie algebras and skew-symmetric Rota—Baxter operators of weight 0 on the matrix algebra to the infinite-dimensional case. We give the first example of a simple double Lie algebra.

Original languageEnglish
Article number3
Pages (from-to)834-844
Number of pages11
JournalSiberian Electronic Mathematical Reports
Volume18
Issue number2
DOIs
Publication statusPublished - 2021

Keywords

  • double Lie algebra
  • Rota—Baxter operator

OECD FOS+WOS

  • 1.01 MATHEMATICS

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