A lower bound for faithful representations of nilpotent Lie algebras

DOI10.1080/03081087.2014.985629zbMath1352.17013arXiv1407.0226OpenAlexW2035231199WikidataQ115299614 ScholiaQ115299614MaRDI QIDQ3455672

Leandro Cagliero, Nadina Rojas

Publication date: 11 December 2015

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0226

zbMATH Keywords

nilpotent Lie algebrasminimal faithful representationAdo's theoremnilrepresentation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Finite nilpotent groups, (p)-groups (20D15) Solvable, nilpotent (super)algebras (17B30)

Related Items (1)

Minimal faithful representations of the free 2-step nilpotent Lie algebra of the rank \(r\)

Cites Work

• Faithful Lie algebra modules and quotients of the universal enveloping algebra
• Computing faithful representations for nilpotent Lie algebras
• Some general algorithms. I: Arithmetic groups
• Bounds for multiplicities of automorphic representations
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• Free left-symmetric algebras and an analogue of the Poincaré-Birkhoff- Witt theorem
• Constructing faithful representations of finitely-generated torsion-free nilpotent groups
• Uniform expansion bounds for Cayley graphs of \(\text{SL}_2(\mathbb F_p)\).
• Left-symmetric algebras, or pre-Lie algebras in geometry and physics
• Minimal faithful representations of reductive Lie algebras
• Representability of Lie algebras and Lie groups by matrices
• FAITHFUL REPRESENTATIONS OF MINIMAL DIMENSION OF CURRENT HEISENBERG LIE ALGEBRAS

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