2024 : 5 : 13
Valiollah Khalili

Valiollah Khalili

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0001-9571-7394
Education: PhD.
ScopusId: 06506756814
Faculty: Science
Address: Arak University
Phone:

Research

Title
On the Structure of Split Regular δ-Hom-Jordan-Lie Superalgebras
Type
JournalPaper
Keywords
: Split Hom-Lie superalgebras, structure theory.
Year
2022
Journal Boletim da Sociedade Paranaense de Matemática
DOI
Researchers Valiollah Khalili

Abstract

In this paper we study the structure of arbitrary split regular δ-Hom-Jordan-Lie super algebras. By developing techniques of connections of roots for this kind of algebras, we show that such a split regular δHom-Jordan-Lie superalgebra L is of the form L = H[α] ⊕ P [α]∈Λ/∼ V[α] , with H[α] a graded linear subspace of the graded abelian subalgebra H and any V[α] , a well-described ideal of L, satisfying [V[α] , V[β] ] = 0 if [α] 6= [β]. Under certain conditions, in the case of L being of maximal length, the simplicity of the algebra is characterized and it is shown that L is the direct sum of the family of its minimal ideals, each one being a simple split regular δ-Hom-Jordan-Lie superalgebra.