Chomology of Heisenberg Hom-Lie algebras
Saadaoui Nejib
TL;DR
This paper introduces the Heisenberg Hom-Lie algebra, explores its representations, and determines the minimal dimension for faithful representations, advancing understanding of its algebraic structure.
Contribution
It defines the Heisenberg Hom-Lie algebra and analyzes its key representations, including the minimal faithful representation dimension.
Findings
Minimal dimension of faithful representation determined
Analysis of adjoint and trivial representations conducted
New insights into the structure of Heisenberg Hom-Lie algebras obtained
Abstract
In this paper, we define the Heisenberg Hom-Lie algebra. We determine the minimal dimension of faithful representation for Heisenberg Hom-Lie algebra.We study the adjoint representation, the trivial representation and the faithful representation of Heisenberg Hom-Lie algebra.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Algebra and Geometry