Equivariant cohomology, deformations and central extension of Hom Lie triple systems
Rinkila Bhutia, RB Yadav, Namita Behera
TL;DR
This paper develops an equivariant cohomology theory for Hom Lie Triple Systems and applies it to analyze their deformations and central extensions, providing new insights into their algebraic structure.
Contribution
It introduces an equivariant cohomology framework for Hom Lie Triple Systems and explores its applications to deformations and central extensions.
Findings
Established a cohomology theory for Hom Lie Triple Systems
Analyzed formal deformations within the equivariant context
Investigated central extensions using the new cohomology framework
Abstract
In this paper, we study equivariant cohomolgy theory of Hom Lie Triple Systems. Using this cohomology, we study 1-parameter formal deformation and central extensions of Hom Lie Triple Systems in the equivariant context.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry