Leibniz algebra deformations of a Lie algebra

DOI10.1063/1.2981562zbMath1152.81434arXiv0802.1263OpenAlexW3099157044WikidataQ115333507 ScholiaQ115333507MaRDI QIDQ5505049

Ashis Mandal, Alice Fialowski

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1263

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Leibniz algebras (17A32)

Related Items (16)

O-operators and related structures on Leibniz algebras ⋮ On metric Leibniz algebras and deformations ⋮ Leibniz cohomology and connections on differentiable manifolds ⋮ Cohomologies and deformations of Lie triple systems with derivations ⋮ On cohomology and deformations of Jacobi-Jordan algebras ⋮ Omni-Representations of Leibniz Algebras ⋮ On a complete rigid Leibniz non-Lie algebra in arbitrary dimension ⋮ Unified products for Leibniz algebras. Applications ⋮ Leibniz bialgebras, relative Rota-Baxter operators, and the classical Leibniz Yang-Baxter equation ⋮ Graded extended Lie-type algebras ⋮ About Leibniz cohomology and deformations of Lie algebras ⋮ On \(n\)-Hom-Leibniz algebras and cohomology ⋮ On non-abelian extensions of Leibniz algebras ⋮ Leibniz algebras of Heisenberg type ⋮ Algebraic topology in India ⋮ On a class of n-Leibniz deformations of the simple Filippov algebras

Cites Work

• Construction of miniversal deformations of Lie algebras
• Universal enveloping algebras of Leibniz algebras and (co)homology
• VERSAL DEFORMATIONS OF THREE-DIMENSIONAL LIE ALGEBRAS AS L_∞ALGEBRAS
• An Example of Constructing Versal Deformation for Leibniz Algebras
• Varieties of Nilpotent Complex Leibniz Algebras of Dimension Less than Five
• Functors of Artin Rings

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