Faithful Lie algebra modules and quotients of the universal enveloping algebra

DOI10.1016/j.jalgebra.2010.09.028zbMath1273.17015arXiv1006.2062OpenAlexW2005583158WikidataQ105335992 ScholiaQ105335992MaRDI QIDQ630865

Wolfgang Alexander Moens, Dietrich Burde

Publication date: 22 March 2011

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

Full work available at URL: https://arxiv.org/abs/1006.2062

zbMATH Keywords

nilpotent Lie algebrafaithful representationsAdo's theorem

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Solvable, nilpotent (super)algebras (17B30)

Related Items (6)

A lower bound for faithful representations of nilpotent Lie algebras ⋮ A remark on nilpotent Lie algebras that do no admit gradings ⋮ Minimal faithful representations of the free 2-step nilpotent Lie algebra of the rank \(r\) ⋮ On representations of the filiform Lie superalgebra \(L_{m,n}\) ⋮ Crystallographic actions on Lie groups and post-Lie algebra structures ⋮ Modular representations of Heisenberg algebras

Cites Work

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• On fundamental groups of complete affinely flat manifolds
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• FAITHFUL REPRESENTATIONS OF MINIMAL DIMENSION OF CURRENT HEISENBERG LIE ALGEBRAS
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
• AFFINE STRUCTURES ON NILMANIFOLDS

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