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Rational solutions of CYBE for simple compact real Lie algebra

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Publication:876760
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DOI10.1016/j.geomphys.2006.10.012zbMath1147.17014OpenAlexW2049289346MaRDI QIDQ876760

Iulia Pop, Alexander Stolin

Publication date: 27 April 2007

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.10.012


zbMATH Keywords

classical Yang-Baxter equationrational solutionYangianBruhat-Tits buildingquasi-Frobenius Lie algebra


Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Lie bialgebras; Lie coalgebras (17B62) Simple, semisimple, reductive (super)algebras (17B20)




Cites Work

  • On the classical Young-Baxter equation for simple Lie algebras
  • On rational solutions of Yang-Baxter equations. Maximal orders in loop algebra
  • New rational solutions of Yang-Baxter equation and deformed Yangians
  • Reductive groups over a local field
  • On rational solutions of Yang-Baxter equation for $\mathfrak{sl}(n)$.
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