The abelian subalgebras of maximal dimensions for general linear Lie superalgebras

DOI10.1080/03081087.2016.1138440zbMath1378.17019OpenAlexW2260158385WikidataQ115299582 ScholiaQ115299582MaRDI QIDQ3179164

Shujuan Wang, Wende Liu

Publication date: 20 December 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2016.1138440

zbMATH Keywords

general linear Lie superalgebrafaithful representationabelian Lie superalgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (1)

Maximal commutative subalgebras of Leavitt path algebras

Cites Work

• Minimal faithful representations of abelian Jordan algebras and Lie superalgebras
• Non-restricted representations of simple Lie superalgebras of special type and Hamiltonian type
• Minimal dimensions of faithful representations for abelian Lie superalgebras
• Schur’s theorems on commutative matrices

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