Quadratic symplectic Lie superalgebras with a filiform module as an odd part

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URI: http://hdl.handle.net/10498/31953

DOI: 10.1063/5.0142935

ISSN: 0022-2488

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Author/s
Barreiro, Elisabete; Benayadi, Saïd; Navarro, Rosa M.; Sánchez Delgado, José MaríaAuthority UCA
Date
2023
Department
Matemáticas
Source
Journal of Mathematical Physics - 2023, Vol. 64 n. 4 pp. 1-23
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
Subjects
Quadratic Lie superalgebras; symplectic Lie superalgebras; double extension; generalized double extension; filiform
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional