A Lie algebraic approach to Novikov algebras.

DOI10.1016/S0393-0440(02)00150-XzbMath1033.17001OpenAlexW2056084710MaRDI QIDQ1864954

Cheng-Ming Bai, Dao Ji Meng

Publication date: 23 March 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(02)00150-x

zbMATH Keywords

Novikov algebrasLinear deformationNovikov interior derivation algebras

Mathematics Subject Classification ID

Other homology theories in algebraic topology (55N35) Nonassociative algebras satisfying other identities (17A30) Homotopy groups of special types (55Q70)

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The construction and deformation of Novikov H-pseudoalgebras, Left-symmetric algebras from linear functions, \(T^\ast\)-extension and 1-parameter formal deformation of Novikov superalgebras, The construction and deformation of BiHom-Novikov algebras, Central Extensions and Hom-Quadratic Hom-Novikov Color Algebras, LEFT-SYMMETRIC BIALGEBRAS AND AN ANALOGUE OF THE CLASSICAL YANG–BAXTER EQUATION, Left-symmetric algebras, or pre-Lie algebras in geometry and physics, Representations and one-parameter formal deformations of BiHom-Novikov superalgebras, Hom Gel'fand-Dorfman bialgebras and Hom-Lie conformal algebras, A kind of infinite-dimensional Novikov algebras and its realizations, Refinement of Ado's Theorem in Low Dimensions and Application in Affine Geometry, Bijective 1-Cocycles and Classification of 3-Dimensional Left-Symmetric Algebras, A FURTHER STUDY ON NON-ABELIAN PHASE SPACES: LEFT-SYMMETRIC ALGEBRAIC APPROACH AND RELATED GEOMETRY

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