Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/100188
Title: | Odd-quadratic Lie superalgebras with a weak filiform module as an odd part | Authors: | Barreiro, Elisabete Benayadi, Saïd Navarro, Rosa M. Sánchez, José M. |
Keywords: | Lie superalgebras; Odd-invariant scalar product; Double extensions; Weak filiform; Nilpotent | Issue Date: | 2022 | Publisher: | Elsevier | Project: | UIDB/00324/2020 | Serial title, monograph or event: | Linear Algebra and Its Applications | Volume: | 649 | Abstract: | The aim of this work is to study a very special family of odd-quadratic Lie superalgebras such that is a weak filiform -module (weak filiform type). We introduce this concept after having proved that the unique non-zero odd-quadratic Lie superalgebra with a filiform -module is the abelian 2-dimensional Lie superalgebra such that . Let us note that in this context the role of the center of is crucial. Thus, we obtain an inductive description of odd-quadratic Lie superalgebras of weak filiform type via generalized odd double extensions. Moreover, we obtain the classification, up to isomorphism, for the smallest possible dimensions, that is, six and eight. | URI: | https://hdl.handle.net/10316/100188 | ISSN: | 00243795 | DOI: | 10.1016/j.laa.2022.04.013 | Rights: | openAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
1-s2.0-S0024379522001641-main.pdf | 462.31 kB | Adobe PDF | View/Open |
Page view(s)
108
checked on Oct 16, 2024
Download(s)
95
checked on Oct 16, 2024
Google ScholarTM
Check
Altmetric
Altmetric
This item is licensed under a Creative Commons License