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On compatible Hom-Lie triple systems

Published 5 Nov 2023 in math.RA | (2311.07531v1)

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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