Quadratic symplectic Lie superalgebras and Lie bi-superalgebras

DOI10.1016/j.jalgebra.2008.09.026zbMath1277.17016OpenAlexW2039671181WikidataQ115351334 ScholiaQ115351334MaRDI QIDQ1012574

Saïd Benayadi, Maria Elisabete Félix Barreiro Carvalho

Publication date: 21 April 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.09.026

zbMATH Keywords

classical Yang-Baxter equationquadratic Lie superalgebrasdouble extensiongeneralized double extensionManin superalgebrassymplectic Lie superalgebras

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Lie bialgebras; Lie coalgebras (17B62)

Related Items (6)

A new approach to Leibniz bialgebras ⋮ Quadratic symplectic Lie superalgebras with a filiform module as an odd part ⋮ Complete description of invariant, associative pseudo-Euclidean metrics on left Leibniz algebras via quadratic Lie algebras ⋮ LIE SUPERALGEBRAS WITH SOME HOMOGENEOUS STRUCTURES ⋮ Omni-Lie superalgebras and Lie 2-superalgebras ⋮ Manin triples and non-degenerate anti-symmetric bilinear forms on Lie superalgebras in characteristic 2

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• LIE BI-SUPERALGEBRAS AND THE GRADED CLASSICAL YANG-BAXTER EQUATION
• Double extension of quadratic lie superalgebras
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