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 language | English (US) |
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Journal | Communications in Algebra |
DOIs | |
State | Accepted/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