1-parameter formal deformations and abelian extensions of Lie color triple systems

Qiang Li; Lili Ma; Qiang Li; Lili Ma

doi:10.3934/era.2022129

Electronic Research Archive

2022, Volume 30, Issue 7: 2524-2539. doi: 10.3934/era.2022129

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Research article

1-parameter formal deformations and abelian extensions of Lie color triple systems

Qiang Li ^,,
Lili Ma

School of Science, Qiqihar University, Qiqihar, 161006, China

Received: 02 October 2021 Revised: 19 January 2022 Accepted: 20 January 2022 Published: 11 May 2022

The purpose of this paper is to discuss Lie color triple systems. The cohomology theory of Lie color triple systems is established, then 1-parameter formal deformations and abelian extensions of Lie color triple systems are studied using cohomology.
- Lie color triple system,
- cohomology,
- deformation,
- abelian extension
Citation: Qiang Li, Lili Ma. 1-parameter formal deformations and abelian extensions of Lie color triple systems[J]. Electronic Research Archive, 2022, 30(7): 2524-2539. doi: 10.3934/era.2022129

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Abstract

The purpose of this paper is to discuss Lie color triple systems. The cohomology theory of Lie color triple systems is established, then 1-parameter formal deformations and abelian extensions of Lie color triple systems are studied using cohomology.

References

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