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Continuant
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Generically Dependent Continuant
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On indecomposable solvable Lie superalgebras having a Heisenberg nilradical
type: Generically Dependent Continuant
related by: authorship_27377
artnum: 1650190
related by: authorship_27375
volume: 15
most specific type: Article
type: Entity
abstract: All solvable, indecomposable, finite-dimensional, complex Lie superalgebras whose first derived ideal lies in its nilradical, and whose nilradical is a Heisenberg Lie superalgebra associated to a ℤ2-homogeneous supersymplectic complex vector superspace V, are here classified up to isomorphism. It is shown that they are all of the form g=h ⊕ a, where a is even and consists of non-ad g-nilpotent elements. All these Lie superalgebras depend on an element γ in the dual space a∗ and on a pair of linear maps defined on a, and taking values in the Lie algebras naturally associated to the even and odd subspaces of V; namely, if the supersymplectic form is even, the pair of linear maps defined on a take values in GP(V0), and (V1), respectively, whereas if the supersymplectic form is odd these linear maps take values on (V0) ≈ (V1). When the supersymplectic form is even, a bilinear, skew-symmetric form defined on is further needed. Conditions on these building data are given and the isomorphism classes of the resulting Lie superalgebras are described in terms of appropriate group actions. © 2016 World Scientific Publishing Company.
crisid: 4661
related by: authorship_27376
type: Continuant
type: Information Content Entity
type: Document
doi: 10.1142/S0219498816501905
freetext keyword: Heisenberg Lie (super)algebras; nilpotent Lie (super)algebras; Solvable
e iscopus: 2-s2.0-84955567214
type: Article
most specific type: Document
origen: scopus
has publication venue: Journal of Algebra and its Applications
estado: published
issue: 10
type: Thing
date time value: article date 4661

RDF description of On indecomposable solvable Lie superalgebras having a Heisenberg nilradical - http://orbis.uaslp.mx/vivo/individual/scopus4660
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date: 2026-08-27T07:40:45
publisher: vivo
type: Document

Article
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Information Content Entity
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Journal of Algebra and its Applications
type: Continuant
type: Journal
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publication venue for: On indecomposable solvable Lie superalgebras having a Heisenberg nilradical
type: Periodical
type: Collection
type: Entity
type: Generically Dependent Continuant
type: Document