<Reference List> | |
Type: | Preprint |
National /International: | International |
Title: | On split regular Hom-Lie superalgebras |
Publication Date: | 2024-01-23 |
Authors: |
- Helena Albuquerque
- Maria Elisabete Barreiro - Antonio Jesus Calderón - José María Sánchez Delgado |
Abstract: | We introduce the class of split regular Hom-Lie superalgebras as the natural extension of the one of split Hom-Lie algebras and Lie superalgebras, and study its structure by showing that an arbitrary split regular Hom-Lie superalgebra \( \mathfrak L \) is of the form \( \mathfrak L \) =U+∑jIjwith \( U \) a linear subspace of a maximal abelian graded subalgebra H and any Ij a well described (split) ideal of \( \mathfrak L \) satisfying [Ij,Ik]=0 if j≠k. Under certain conditions, the simplicity of \( \mathfrak L \) is characterized and it is shown that \( \mathfrak L \) is the direct sum of the family of its simple ideals. |
Institution: | arXiv:2401.13710 |
Online version: | https://arxiv.org/abs/2401.13710 |
Download: | Not available |