Bijective 1-Cocycles and Classification of 3-Dimensional Left-Symmetric Algebras

DOI10.1080/00927870802279030zbMath1196.17002arXiv0710.2609OpenAlexW2025277274MaRDI QIDQ3619839

Cheng-Ming Bai

Publication date: 9 April 2009

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

Full work available at URL: https://arxiv.org/abs/0710.2609

zbMATH Keywords

Lie algebra1-cocycleleft-symmetric algebra

Mathematics Subject Classification ID

Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30)

Related Items (13)

Simple \(\omega \)-Lie algebras and 4-dimensional \(\omega \)-Lie algebras over \(\mathbb {C}\) ⋮ Deformations and their controlling cohomologies of \(\mathcal{O}\)-operators ⋮ Left-symmetric superalgebras on special linear Lie superalgebras ⋮ Eight-dimensional symplectic non-solvable Lie algebras ⋮ A left-symmetric algebraic approach to left invariant flat (pseudo-)metrics on Lie groups ⋮ Hopf braces and Yang-Baxter operators ⋮ Unnamed Item ⋮ Extending structures and classifying complements for left-symmetric algebras ⋮ Crossed morphisms, integration of post-Lie algebras and the post-Lie Magnus expansion ⋮ ON SOME LEFT-SYMMETRIC SUPERALGEBRAS ⋮ Rota-Baxter operators on $\mathrm{sl(2,\mathbb {C})}$ sl (2,C) and solutions of the classical Yang-Baxter equation ⋮ The algebraic and geometric classification of nilpotent left-symmetric algebras ⋮ Rota-Baxter operators on pre-Lie superalgebras

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