A new invariant for finite dimensional Leibniz/Lie algebras

DOI10.1016/j.jalgebra.2020.07.005zbMath1495.17002arXiv2006.00711OpenAlexW3029276270WikidataQ115350447 ScholiaQ115350447MaRDI QIDQ2197567

Gigel Militaru, Ana-Loredana Agore

Publication date: 1 September 2020

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

Full work available at URL: https://arxiv.org/abs/2006.00711

zbMATH Keywords

automorphism groupLie algebrasuniversal constructionsgradings

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Graded Lie (super)algebras (17B70) Leibniz algebras (17A32) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (4)

Universal constructions for Poisson algebras. Applications ⋮ Functors between representation categories. Universal modules ⋮ Universal quantum (semi)groups and Hopf envelopes ⋮ The automorphisms group and the classification of gradings of finite dimensional associative algebras

Cites Work

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• The structure of Hopf algebras with a projection
• A noncommutative version of Lie algebras: Leibniz algebras
• Gradings on classical central simple real Lie algebras
• Graded simple Lie algebras and graded simple representations
• Equivalences of (co)module algebra structures over Hopf algebras
• Free Hopf algebras generated by coalgebras
• On semi-simple automorphisms of Lie algebras
• Automorphisms of real Lie algebras of dimension five or less
• Structure of H-(co)module Lie algebras
• Categorical Constructions for Hopf Algebras
• Hopf Algebras
• Symmetries of Baryons and Mesons
• Galois groups and group actions on Lie algebras
• The second homology group of current Lie algebras
• On Symmetrized Kronecker Powers and the Structure of the Free Lie Ring
• The Free Lie Ring and Lie Representations of the Full Linear Group

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