On the Novikov algebra structures adapted to the automorphism structure of a Lie group.

DOI10.1016/S0393-0440(02)00127-4zbMath1033.17002WikidataQ115338863 ScholiaQ115338863MaRDI QIDQ1864946

Cheng-Ming Bai, Dao Ji Meng

Publication date: 23 March 2003

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

zbMATH Keywords

Novikov algebrasNovikov derivation algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Other homology theories in algebraic topology (55N35) Nonassociative algebras satisfying other identities (17A30) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Homotopy groups of special types (55Q70)

Related Items

The construction and deformation of Novikov H-pseudoalgebras ⋮ \(T^\ast\)-extension and 1-parameter formal deformation of Novikov superalgebras ⋮ Central Extensions and Hom-Quadratic Hom-Novikov Color Algebras ⋮ Representations and one-parameter formal deformations of BiHom-Novikov superalgebras ⋮ Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators ⋮ A kind of infinite-dimensional Novikov algebras and its realizations ⋮ Reduced pre-Lie algebraic structures, the weak and weakly deformed Balinsky-Novikov type symmetry algebras and related Hamiltonian operators ⋮ A Lie algebraic approach to Novikov algebras.

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