On Lie superalgebroids of Poisson type

The purpose of this work is to study Lie superalgebroid structures on the space of superdifferential $1$-forms over the supermanifolds whose superfunctions are the differential forms on its underlying manifold. These superalgbroids are constructed from graded Poisson structures defined on the latter...

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Bibliographic Details
Main Authors García-Beltrán, Dennise, Guajardo, Óscar
Format Journal Article
LanguageEnglish
Published 03.04.2019
Subjects
Mathematics - Differential Geometry
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Summary:The purpose of this work is to study Lie superalgebroid structures on the space of superdifferential $1$-forms over the supermanifolds whose superfunctions are the differential forms on its underlying manifold. These superalgbroids are constructed from graded Poisson structures defined on the latter superalgebra.
DOI:10.48550/arxiv.1904.02114