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Generalized Reynolds Operators on Hom-Lie Triple Systems
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Uchino first initiated the study of generalized Reynolds operators on associative algebras.
Recently, related research has become a hot topic. In this paper, we first introduce the notion of generalized Reynolds operators on Hom-Lie triple systems associated to a representation and a 3-cocycle.
Then, we develop cohomology of generalized Reynolds operators on Hom-Lie triple systems with coefficients in a suitable representation. As applications, we use the first cohomology group to classify linear deformations and we study the obstruction class of an extendable
order $n$ deformation. Finally, we introduce and investigate Hom-NS-Lie triple system as the underlying
structure of generalized Reynolds operators on Hom-Lie triple systems.
Title: Generalized Reynolds Operators on Hom-Lie Triple Systems
Description:
Uchino first initiated the study of generalized Reynolds operators on associative algebras.
Recently, related research has become a hot topic.
In this paper, we first introduce the notion of generalized Reynolds operators on Hom-Lie triple systems associated to a representation and a 3-cocycle.
Then, we develop cohomology of generalized Reynolds operators on Hom-Lie triple systems with coefficients in a suitable representation.
As applications, we use the first cohomology group to classify linear deformations and we study the obstruction class of an extendable
order $n$ deformation.
Finally, we introduce and investigate Hom-NS-Lie triple system as the underlying
structure of generalized Reynolds operators on Hom-Lie triple systems.
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