Cohomology and conformal derivations of BiHom-Lie conformal superalgebras
Taoufik Chtioui
TL;DR
This paper introduces BiHom-Lie conformal superalgebras, develops their representation theory and cohomology, and explores conformal derivations, expanding the algebraic framework for superalgebra structures.
Contribution
It presents the first definition of BiHom-Lie conformal superalgebras and investigates their cohomology and derivations, filling a gap in superalgebra theory.
Findings
Defined BiHom-Lie conformal superalgebras
Developed their representation theory and cohomology
Analyzed properties of conformal derivations
Abstract
In this paper, we introduce the notion of BiHom-Lie conformal superalgebras. We develop its representation theory and define the cohomology group with coefficients in a module. Finally, we introduce conformal derivations of BiHom-Lie conformal superalgebras and study some of their properties.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Matrix Theory and Algorithms