RT journal article T1 Quadratic symplectic Lie superalgebras with a filiform module as an odd part A1 Barreiro, Elisabete A1 Benayadi, Saïd A1 Navarro, Rosa M. A1 Sánchez Delgado, José María A2 Matemáticas K1 Quadratic Lie superalgebras K1 symplectic Lie superalgebras K1 double extension K1 generalized double extension K1 filiform AB The present work studies deeply quadratic symplectic Lie superalgebras, obtaining, in particular, that they are all nilpotent. Consequently, we provide classificationsin low dimensions and identify the double extensions that maintain symplectic structures.By means of both elementary odd double extensions and generalized double extensionsof quadratic symplectic Lie superalgebras, we obtain an inductive description of quadraticsymplectic Lie superalgebras of filiform type PB American Institute of Physics Inc. SN 0022-2488 YR 2023 FD 2023 LK http://hdl.handle.net/10498/31953 UL http://hdl.handle.net/10498/31953 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 12-nov-2026