@misc{10498/31953,
year = {2023},
url = {http://hdl.handle.net/10498/31953},
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},
publisher = {American Institute of Physics Inc.},
keywords = {Quadratic Lie superalgebras},
keywords = {symplectic Lie superalgebras},
keywords = {double extension},
keywords = {generalized double extension},
keywords = {filiform},
title = {Quadratic symplectic Lie superalgebras with a filiform module as an odd part},
doi = {10.1063/5.0142935},
author = {Barreiro, Elisabete and Benayadi, Saïd and Navarro, Rosa M. and Sánchez Delgado, José María},
}