Lie superalgebras based on Heisenberg Lie algebras

DOI10.1080/03081087.2020.1765958OpenAlexW3026286926WikidataQ115298925 ScholiaQ115298925MaRDI QIDQ5078238

L. Campa, Gil Salgado, Ramon Peniche

Publication date: 23 May 2022

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

Full work available at URL: https://doi.org/10.1080/03081087.2020.1765958

zbMATH Keywords

Lie superalgebrasadjoint representationHeisenberg Lie algebrasymmetric equivariant maps

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Superalgebras (17A70) Canonical forms, reductions, classification (15A21)

Cites Work

• On Heisenberg-like super group structures
• Heisenberg Lie superalgebras and their invariant superorthogonal and supersymplectic forms
• The theory of Lie superalgebras. An introduction
• Lie superalgebras based on \(\mathfrak{gl}_n\) associated to the adjoint representation, and invariant geometric structures defined on them
• The structure, capability and the Schur multiplier of generalized Heisenberg Lie algebras
• The minimal dimensions of faithful representations for Heisenberg Lie superalgebras
• Cohomology of Heisenberg Lie superalgebras
• Cohomology and deformations of 3-dimensional Heisenberg Hom-Lie superalgebras
• Cohomology and deformations for the Heisenberg Hom-Lie algebras
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