On Rota-Baxter operators of non-zero weight arisen from the solutions of the classical Yang-Baxter equation

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2 Citations (Scopus)

Abstract

Let L be a simple anti-commutative algebra. In this paper we prove that a non skew-symmetric solution of the classical Yang- Baxter equation on L with L-invariant symmetric part induces on L a Rota-Baxter operator of a non-zero weight.

Original languageEnglish
Pages (from-to)1533-1544
Number of pages12
JournalСибирские электронные математические известия
Volume14
DOIs
Publication statusPublished - 1 Jan 2017

Keywords

  • Anti-commutative algebra
  • Classical Yang-Baxter equation
  • Lie algebra
  • Malcev algebra
  • Non-associative bialgebra
  • Rota-Baxter operator
  • non-associative bialgebra
  • ALGEBRAS
  • classical Yang-Baxter equation
  • anti-commutative algebra
  • BIALGEBRAS

OECD FOS+WOS

  • 1.01 MATHEMATICS

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