A new approach to Leibniz bialgebras

DOI10.1007/S10468-015-9563-6zbMath1394.17002OpenAlexW1658977138MaRDI QIDQ269837

Saïd Benayadi, Maria Elisabete Félix Barreiro Carvalho

Publication date: 6 April 2016

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/43767

zbMATH Keywords

Leibniz algebrasassociative Yang-Baxter equationclassical Yang-Baxter equationLie bialgebrascoboundary Leibniz bialgebrasinfinitesimal bialgebraLeibniz bialgebrasrepresentations of Leibniz algebras

Mathematics Subject Classification ID

Lie bialgebras; Lie coalgebras (17B62) Derivations, actions of Lie algebras (16W25) Leibniz algebras (17A32) Lie-admissible algebras (17D25)

Related Items (10)

O-operators and related structures on Leibniz algebras ⋮ A class of Lie racks associated to symmetric Leibniz algebras ⋮ Mini-workshop: Deformation quantization: between formal to strict. Abstracts from the mini-workshop held February 15--21, 2015. ⋮ Complete description of invariant, associative pseudo-Euclidean metrics on left Leibniz algebras via quadratic Lie algebras ⋮ Leibniz bialgebras, relative Rota-Baxter operators, and the classical Leibniz Yang-Baxter equation ⋮ Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras ⋮ ON REPRESENTATIONS OF SYMMETRIC LEIBNIZ ALGEBRAS ⋮ The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras ⋮ Leibniz bialgebras, classical Yang-Baxter equations and dynamical systems ⋮ Quadratic (resp. symmetric) Leibniz superalgebras

Cites Work

• Some remarks on semisimple Leibniz algebras
• Special bi-invariant linear connections on Lie groups and finite dimensional Poisson structures
• Quadratic symplectic Lie superalgebras and Lie bi-superalgebras
• Lie coalgebras
• Existence of triangular Lie bialgebra structures
• A noncommutative version of Lie algebras: Leibniz algebras
• Classification of solvable Leibniz algebras with naturally graded filiform nilradical
• The local integration of Leibniz algebras
• Leibniz bialgebras, classical Yang-Baxter equations and dynamical systems
• About Leibniz cohomology and deformations of Lie algebras
• Leibniz algebras and Lie algebras
• ON LEVI’S THEOREM FOR LEIBNIZ ALGEBRAS
• Coalgebras and Bialgebras in Combinatorics
• Algèbres de Leibnitz : définitions, propriétés
• On the associative analog of Lie bialgebras
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