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arXiv · 1309.3347

Cohomology and 1-parameter formal deformations of Hom-Lie triple systems

Yao Ma·Liangyun Chen·Jie Lin
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Abstract

In this paper, we study the cohomology theory of Hom-Lie triple systems generalizing the Yamaguti cohomology theory of Lie triple systems. We introduce the central extension theory for Hom-Lie triple systems and show that there is a one-to-one correspondence between equivalent classes of central extensions of Hom-Lie triple systems and the third cohomology group. We develop the 1-parameter formal deformation theory of Hom-Lie triple systems, and prove that it is governed by the cohomology group.

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Yao Ma, Liangyun Chen, Jie Lin. 2013-09-13. Cohomology and 1-parameter formal deformations of Hom-Lie triple systems. https://doi.org/10.1080/00927872.2017.1339063

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