EXTENSIONS OF (SUPER) LIE ALGEBRAS

DOI10.1142/S0219199709003557zbMath1255.17010arXivmath/0611234OpenAlexW2962803715MaRDI QIDQ3648311

Alice Fialowski, Michael Penkava

Publication date: 25 November 2009

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611234

zbMATH Keywords

deformationsmoduliextensions of Lie superalgebras

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Homological methods in Lie (super)algebras (17B55)

Related Items (11)

Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms ⋮ On the cohomology of the orthosymplectic superalgebra ⋮ 2-term averaging \(L_{\infty}\)-algebras and non-abelian extensions of averaging Lie algebras ⋮ Crossed modules and non-abelian extensions of Rota-Baxter Leibniz algebras ⋮ Automorphisms of extensions of Lie-Yamaguti algebras and inducibility problem ⋮ On non-abelian extensions of Leibniz algebras ⋮ Extensions of associative algebras ⋮ Moduli spaces of low-dimensional Lie superalgebras ⋮ The Moduli Space of 3-Dimensional Associative Algebras ⋮ Central extensions of some solvable Leibniz superalgebras ⋮ Cohomology of \(q\)-deformed Witt-Virasoro superalgebras of the Hom type

Cites Work

• The intrinsic bracket on the deformation complex of an associative algebra
• First order deformations of Lie algebra representations, E(3) and Poincaré examples
• VERSAL DEFORMATIONS OF THREE-DIMENSIONAL LIE ALGEBRAS AS L_∞ALGEBRAS
• DEFORMATIONS OF FOUR-DIMENSIONAL LIE ALGEBRAS
• Non-Abelian Extensions of Topological Lie Algebras

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