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Cohomology and 1-Parameter Formal Deformations of Hom-\(\delta \)-Lie Triple Systems

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Abstract

In this paper, we study the cohomology theory of Hom-\(\delta \)-Lie triple systems. We develop the 1-parameter formal deformation theory of Hom-\(\delta \)-Lie triple systems, and prove that it is governed by the cohomology group.

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Acknowledgements

The authors would like to thank the referee for valuable comments and suggestions on this article.

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Correspondence to Liangyun Chen.

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Supported by NNSF of China (nos. 11471090 and 11771069), NSF of Jilin province (no. 20170101048JC) and the project of jilin province department of education (no. JJKH20180005K)

Communicated by Michaela Vancliff

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Chen, L., Yi, Y., Chen, M. et al. Cohomology and 1-Parameter Formal Deformations of Hom-\(\delta \)-Lie Triple Systems. Adv. Appl. Clifford Algebras 29, 63 (2019) doi:10.1007/s00006-019-0982-z

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Mathematics Subject Classification

  • 17A40
  • 17B10
  • 17B56
  • 55U15

Keywords

  • Hom-\(\delta \)-Lie triple systems
  • Cohomology
  • Deformation