Heisenberg Lie superalgebras and their invariant superorthogonal and supersymplectic forms

DOI10.1016/j.jalgebra.2011.02.003zbMath1264.17007OpenAlexW2059821373WikidataQ115351207 ScholiaQ115351207MaRDI QIDQ645241

M. C. Rodríguez-Vallarte, Gil Salgado, Oscar Adolfo Sánchez Valenzuela

Publication date: 8 November 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.02.003

zbMATH Keywords

solvablead-invariant supersymmetric bilinear formsHeisenberg Lie (super)algebrasnilpotent Lie (super)algebras

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30)

Related Items (23)

Superderivations of direct and semidirect sum of Lie superalgebras ⋮ Geometric structures on Lie algebras and double extensions ⋮ On indecomposable solvable Lie superalgebras having a Heisenberg nilradical ⋮ Adjoint cohomology of two-step nilpotent Lie superalgebras ⋮ On capability and the Schur multiplier of some nilpotent Lie superalgebras ⋮ On ID*-superderivations of Lie superalgebras ⋮ Lie superalgebras based on Heisenberg Lie algebras ⋮ Injective hulls of simple modules over finite dimensional nilpotent complex Lie superalgebras ⋮ Invariant metrics on current Lie algebras ⋮ Extra-special Leibniz superalgebras ⋮ Unnamed Item ⋮ Characterization of contact Lie superalgebras ⋮ Cohomology of Heisenberg Lie superalgebras ⋮ Invariant metrics on central extensions of quadratic Lie algebras ⋮ Multipliers of nilpotent Lie superalgebras ⋮ Fine gradings and their Weyl groups for twisted Heisenberg Lie superalgebras ⋮ Multipliers, covers, and stem extensions for Lie superalgebras ⋮ The minimal dimensions of faithful representations for Heisenberg Lie superalgebras ⋮ Classification of nilpotent Lie superalgebras of multiplier-rank less than or equal to 6 ⋮ Cohomology and deformations of 3-dimensional Heisenberg Hom-Lie superalgebras ⋮ On the minimal dimension of faithful representations for current Heisenberg Lie superalgebras ⋮ On rigid 2-step nilpotent Lie superalgebras ⋮ Detecting capable Lie superalgebras

Cites Work

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• On Heisenberg-like super group structures
• The theory of Lie superalgebras. An introduction
• Solvable Lie algebras with Heisenberg ideals
• Lie superalgebras

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