The minimal dimensions of faithful representations for Heisenberg Lie superalgebras

DOI10.1016/J.GEOMPHYS.2014.12.003zbMath1371.17014arXiv1308.1183OpenAlexW2023417770MaRDI QIDQ2255871

Meiwei Chen, Wende Liu

Publication date: 18 February 2015

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.1183

zbMATH Keywords

minimal dimensionfaithful representationHeisenberg Lie superalgebra

Mathematics Subject Classification ID

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

Related Items (6)

Lie superalgebras based on Heisenberg Lie algebras ⋮ Current Hom-Lie algebras ⋮ Minimal faithful representations of the free 2-step nilpotent Lie algebra of the rank \(r\) ⋮ On representations of the filiform Lie superalgebra \(L_{m,n}\) ⋮ Minimal dimensions of faithful representations for abelian Lie superalgebras ⋮ On the minimal dimension of faithful representations for current Heisenberg Lie superalgebras

Cites Work

• Minimal faithful representations of abelian Jordan algebras and Lie superalgebras
• Heisenberg Lie superalgebras and their invariant superorthogonal and supersymplectic forms
• Representations of Heisenberg Lie super algebras
• On a refinement of Ado's theorem
• Minimal faithful representations of reductive Lie algebras
• FAITHFUL REPRESENTATIONS OF MINIMAL DIMENSION OF CURRENT HEISENBERG LIE ALGEBRAS
• A Simple Proof of a Theorem of Schur
• Lie superalgebras

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