COHOMOLOGY AND HOMOLOGY OF ABELIAN GROUPS GRADED KOSZUL–VINBERG ALGEBRAS

DOI10.1142/S0219887809003515zbMath1232.17001OpenAlexW1973462019MaRDI QIDQ3622608

Michel Nguiffo Boyom, Ferdinand Ngakeu

Publication date: 28 April 2009

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887809003515

zbMATH Keywords

pre-Lie algebrasKoszul algebrasgraded homologyquasi-associative algebrasgraded extensionsVinberg algebrasleft-symmetric algebrasgraded KV-modulesKV\(^{\rho}\)-algebraKV\(^{\rho}\)-anomalyKV\(^{\rho}\)-cohomology

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Nonassociative algebras satisfying other identities (17A30) Lie-admissible algebras (17D25)

Related Items (1)

KV-cohomology and differential geometry of affinely flat manifolds. Information geometry

Cites Work

• Unnamed Item
• Complete left-invariant affine structures on nilpotent Lie groups
• Cohomologies and deformations of right-symmetric algebras
• Deformation quantization of Poisson manifolds
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• Déformations de connexions localement plates
• On the deformation of rings and algebras
• On the generalized enveloping algebra of a color Lie algebra
• Cohomology of Lie algebras
• On the cohomology groups of an associative algebra
• Cohomology of Lie superalgebras and their generalizations
• Group gradings on associative algebras

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