On compatible Hom-Lie triple systems
Wen Teng, Fengshan Long, Hui Zhang, Jiulin Jin
TL;DR
This paper introduces compatible Hom-Lie triple systems, characterizes them via Maurer-Cartan elements, and develops a cohomology theory to study their extensions and deformations.
Contribution
It defines compatible Hom-Lie triple systems, establishes their characterization through Maurer-Cartan elements, and constructs a cohomology framework for analyzing their extensions and deformations.
Findings
Characterization as Maurer-Cartan elements
Development of a cohomology theory
Applications to abelian extensions and deformations
Abstract
In this paper, we consider compatible Hom-Lie triple systems. Compatible Hom-Lie triple systems are characterized as Maurer-Cartan elements in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible Hom-Lie triple systems. As applications of cohomology, we study abelian extensions and deformations of compatible Hom-Lie triple systems.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Advanced Differential Geometry Research