Group Gradings on Filiform Lie Algebras

DOI10.1080/00927872.2014.937535zbMath1400.17005OpenAlexW1588309994MaRDI QIDQ2802167

Michel Goze, Elisabeth Remm, Yu. A. Bakhturin

Publication date: 25 April 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.937535

zbMATH Keywords

nilpotent Lie algebrasfiliform Lie algebrasgrading Lie algebras

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Graded Lie (super)algebras (17B70) Solvable, nilpotent (super)algebras (17B30)

Related Items (11)

Techniques of graphs in the study of the structure of graded modules ⋮ Filiform Lie algebras with low derived length ⋮ Unnamed Item ⋮ Fine gradings and their Weyl groups for twisted Heisenberg Lie superalgebras ⋮ Abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras ⋮ Gradings and symmetries on Heisenberg type algebras ⋮ Contact and Frobeniusian forms on Lie groups ⋮ On certain graded representations of filiform Lie algebras ⋮ Rota-type operators on null-filiform associative algebras ⋮ Rigidity-preserving and cohomology-decreasing extensions of solvable rigid Lie algebras ⋮ Quasi-filiform Lie algebras of maximum length revisited

Cites Work

• Low-dimensional filiform Lie algebras
• A non-affine nilvariety
• On semi-simple automorphisms of Lie algebras
• Group Gradings on Finite Dimensional Lie Algebras
• On Identical Relations in Free Polynilpotent Lie Algebras
• Group gradings on associative algebras

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