Jordan bialgebras of symmetric elements and Lie bialgebras

DOI10.1007/BF02677510zbMath0903.17013MaRDI QIDQ1271991

Viktor Nikolaevich Zhelyabin

Publication date: 22 November 1998

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Lie bialgebraJordan bialgebraKantor-Köcher-Tits construction

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Jordan structures associated with other structures (17C50)

Related Items (14)

Lie bialgebras with triality and Mal'tsev bialgebras ⋮ Structures of Malcev Bialgebras on a Simple Non-Lie Malcev Algebra ⋮ Rota–Baxter operators of nonzero weight on the matrix algebra of order three ⋮ Lie bialgebras arising from alternative and Jordan bialgebras ⋮ Classification of \(D\)-bialgebra structures on power series algebras ⋮ Monomial Rota-Baxter operators on free commutative non-unital algebra ⋮ Unnamed Item ⋮ On Rota-Baxter operators of non-zero weight arisen from the solutions of the classical Yang-Baxter equation ⋮ Rota-Baxter operators on quadratic algebras ⋮ Universal enveloping commutative Rota-Baxter algebras of pre- and post-commutative algebras ⋮ Rota-Baxter operators and non-skew-symmetric solutions of the classical Yang-Baxter equation on quadratic Lie algebras ⋮ An example of a simple double Lie algebra ⋮ Rota-Baxter operators on unital algebras ⋮ Double Lie algebras of a nonzero weight

Cites Work

• Unnamed Item
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• Lie coalgebras
• Existence of a Lie bialgebra structure on every Lie algebra
• The Kantor-Koecher-Tits Construction for Jordan Coalgebras
• Nonassociative coalgebras

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