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Rota-Baxter operators of nonzero weight on a complete linear Lie algebra of order two

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Publication:2165611
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DOI10.1007/s10469-022-09675-xOpenAlexW4289930304WikidataQ115384400 ScholiaQ115384400MaRDI QIDQ2165611

M. E. Goncharov, D. E. Kozhukhar'

Publication date: 22 August 2022

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-022-09675-x


Mathematics Subject Classification ID

Mathematical logic and foundations (03-XX) Group theory and generalizations (20-XX)




Cites Work

  • Rota-Baxter operators on 4-dimensional complex simple associative algebras
  • An analytic problem whose solution follows from a simple algebraic identity
  • What is a classical r-matrix?
  • On Rota-Baxter operators of non-zero weight arisen from the solutions of the classical Yang-Baxter equation
  • Rota-Baxter operators on quadratic algebras
  • Classification of constant solutions of the associative Yang-Baxter equation on \(\mathrm{Mat}_3\).
  • PostLie algebra structures on the Lie algebra sl(2,C)
  • Rota–Baxter operators of nonzero weight on the matrix algebra of order three
  • Rota-Baxter operators on $\mathrm{sl(2,\mathbb {C})}$ sl (2,C) and solutions of the classical Yang-Baxter equation
  • Solutions of the classical Yang-Baxter equation for simple Lie algebras
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