Cohomology and deformations of the infinite-dimensional filiform Lie algebra \(\mathfrak m_0\)

DOI10.1016/j.jalgebra.2007.09.004zbMath1181.17008arXivmath/0703383OpenAlexW4212875323WikidataQ115351419 ScholiaQ115351419MaRDI QIDQ2470383

Friedrich Wagemann, Alice Fialowski

Publication date: 14 February 2008

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

Full work available at URL: https://arxiv.org/abs/math/0703383

zbMATH Keywords

cohomologydeformationfiliform Lie algebraMassey product

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie (super)algebras (17B65) Cohomology of Lie (super)algebras (17B56) Solvable, nilpotent (super)algebras (17B30)

Related Items (5)

Algebras defined by Lyndon words and Artin-Schelter regularity ⋮ Cohomology and deformations of the infinite-dimensional filiform Lie algebra \(\mathfrak m _2\) ⋮ Associative algebra deformations of Connes-Moscovici's Hopf algebra \(\mathcal H_1\). ⋮ Cohomology of graded Lie algebras of maximal class with coefficients in the adjoint representation ⋮ The variety of Lie algebras of maximal class

Cites Work

• Classification of graded Lie algebras with two generators
• Construction of miniversal deformations of Lie algebras
• Narrow Lie algebras: A coclass theory and a characterization of the Witt algebra
• Cohomology of Lie algebras of formal vector fields on the line
• Cohomology of graded Lie algebras of maximal class
• DEFORMATIONS OF LIE ALGEBRAS
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes

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