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The present work studies deeply quadratic symplectic Lie superalgebras, obtaining, in particular, that they are all nilpotent. Consequently, we provide classifications in low dimensions and identify the double extensions that… Click to show full abstract
The present work studies deeply quadratic symplectic Lie superalgebras, obtaining, in particular, that they are all nilpotent. Consequently, we provide classifications in low dimensions and identify the double extensions that maintain symplectic structures. By means of both elementary odd double extensions and generalized double extensions of quadratic symplectic Lie superalgebras, we obtain an inductive description of quadratic symplectic Lie superalgebras of filiform type.
Keywords:
quadratic symplectic;
lie superalgebras;
superalgebras filiform;
symplectic lie;
double extensions
Journal Title: Journal of Mathematical Physics
Year Published: 2023
Link to full text (if available)
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Journal Title: Journal of Mathematical Physics
Year Published: 2023
Link to full text (if available)
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recommendations!