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On Heisenberg-like super group structures

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Publication:625075
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DOI10.1007/s00023-010-0020-0zbMath1206.81066OpenAlexW2042313900MaRDI QIDQ625075

Ramon Peniche, Oscar Adolfo Sánchez Valenzuela

Publication date: 14 February 2011

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-010-0020-0


Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Geometric theory, characteristics, transformations in context of PDEs (35A30) Analysis on supermanifolds or graded manifolds (58C50)


Related Items

Lie superalgebras based on Heisenberg Lie algebras, Heisenberg Lie superalgebras and their invariant superorthogonal and supersymplectic forms, Cohomology and deformations of 3-dimensional Heisenberg Hom-Lie superalgebras



Cites Work

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  • Structure of some \(\mathbb Z\)-graded Lie superalgebras of vector fields
  • Existence and uniqueness of solutions to superdifferential equations
  • Five exceptional simple Lie superalgebras of vector fields
  • Lie supergroups supported over \(\text{GL}_2\) and \(\text{U}_2\) associated to the adjoint representation
  • Linear Supergroup Actions. I: On the Defining Properties
  • Generalized Kac-Moody algebras and some related topics
  • Superconformal Algebras and Lie Superalgebras of the Hodge Theory
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