Double extensions of quasi-Frobenius Lie superalgebras with degenerate center

Sofiane Bouarroudj, Quentin Ehret

Research output: Contribution to journalArticlepeer-review

Abstract

We develop the process of symplectic double extensions for Lie superalgebras with degenerate center. The construction is a superization of a recent work by Fischer, and generalize our previous work. We provide a standard model for such double extensions, where the symplectic form is either orthosymplectic or periplectic. Additionally, we show that every double extension is naturally equivalent to either of these two standard types of extensions. Several examples in low dimensions are given to illustrate the concept.

Original languageEnglish (US)
JournalCommunications in Algebra
DOIs
StateAccepted/In press - 2024

Keywords

  • Cohomology
  • Lie (super)algebra
  • double extensions
  • orthosymplectic and periplectic forms
  • quasi-Frobenius Lie superalgebra

ASJC Scopus subject areas

  • Algebra and Number Theory

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