O-operators on Lie triple systems
Abstract
The purpose of this paper is to study cohomology and deformations of O-operators on Lie triple systems. We define a cohomology of an O-operator T as the Lie-Yamaguti cohomology of a certain Lie triple system induced by T with coefficients in a suitable representation. Then we consider infinitesimal and formal deformations of O-operators from cohomological viewpoint. Moreover we provide relationships between O-operators on Lie algebras and associated Lie triple systems.
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