Minimal faithful representations of abelian Jordan algebras and Lie superalgebras

DOI10.1016/j.laa.2012.04.029zbMath1286.17028OpenAlexW1967753066WikidataQ115344659 ScholiaQ115344659MaRDI QIDQ442692

Shujuan Wang, Wende Liu

Publication date: 3 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.04.029

zbMATH Keywords

Lie superalgebraJordan algebrafaithful representation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Jordan algebras (17C10) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (5)

The abelian subalgebras of maximal dimensions for general linear Lie superalgebras ⋮ On representations of the filiform Lie superalgebra \(L_{m,n}\) ⋮ The minimal dimensions of faithful representations for Heisenberg Lie superalgebras ⋮ Minimal dimensions of faithful representations for abelian Lie superalgebras ⋮ On the minimal dimension of faithful representations for current Heisenberg Lie superalgebras

Cites Work

• On a refinement of Ado's theorem
• Minimal faithful representations of reductive Lie algebras
• A Simple Proof of a Theorem of Schur
• Schur’s theorems on commutative matrices

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