Classification of simple Novikov algebras and their irreducible modules of characteristic 0

DOI10.1006/jabr.2001.8965zbMath1003.17003arXivmath/0008072OpenAlexW2014338915MaRDI QIDQ5957531

Xiaoping Xu

Publication date: 17 September 2002

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

Full work available at URL: https://arxiv.org/abs/math/0008072

zbMATH Keywords

irreducible modulesNovikov algebrainfinite-dimensional simple Novikov algebrasleft locally finite element

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30)

Related Items (17)

On the Lie-solvability of Novikov algebras ⋮ One-generated nilpotent Novikov algebras ⋮ Noncommutative Novikov algebras ⋮ The algebraic and geometric classification of nilpotent Novikov algebras ⋮ On simple left-symmetric algebras ⋮ Embedding Novikov-Poisson algebras in Novikov-Poisson algebras of vector type ⋮ Simplicity of quadratic Lie conformal algebras ⋮ On the right-symmetric algebras with a unital matrix subalgebra ⋮ Non-associative structures of commutative algebras related with quadratic Poisson brackets ⋮ The structure of assosymmetric algebras ⋮ Novikov–Poisson Algebras and Superalgebras of Jordan Brackets ⋮ Hom Gel'fand-Dorfman bialgebras and Hom-Lie conformal algebras ⋮ Gelfand-Dorfman-Novikov-Poisson superalgebras and their envelopes ⋮ Quadratic Lie conformal superalgebras related to Novikov superalgebras ⋮ On the solvability of graded Novikov algebras ⋮ Speciality of Jordan superalgebras related to Novikov-Poisson algebras ⋮ Semiprime Novikov algebras

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