Minimal dimensions of faithful representations for abelian Lie superalgebras

DOI10.1080/03081087.2015.1083528zbMath1395.17022OpenAlexW2224811925WikidataQ115299590 ScholiaQ115299590MaRDI QIDQ5741210

Wende Liu, Shujuan Wang

Publication date: 22 July 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1083528

zbMATH Keywords

Lie superalgebraminimal dimensionfaithful representation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Lie algebras and superalgebras (17B05) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (2)

The abelian subalgebras of maximal dimensions for general linear 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
• On a refinement of Ado's theorem
• Non-restricted representations of simple Lie superalgebras of special type and Hamiltonian type
• The minimal dimensions of faithful representations for Heisenberg Lie superalgebras
• Left-symmetric algebras, or pre-Lie algebras in geometry and physics
• 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
• Schur’s theorems on commutative matrices

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