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Research Article | Open Access

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

Qiang Li( ), Lili Ma
School of Science, Qiqihar University, Qiqihar, 161006, China
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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.

Keywords

Lie color triple systemcohomologydeformationabelian extension

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Electronic Research Archive
Volume 30 Issue 7,
July 2022
Pages 2524-2539
DOI: 10.3934/era.2022129

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Cite this article:
Li Q, Ma L. 1-parameter formal deformations and abelian extensions of Lie color triple systems. Electronic Research Archive, 2022, 30(7): 2524-2539. https://doi.org/10.3934/era.2022129

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Received: 02 October 2021
Revised: 19 January 2022
Accepted: 20 January 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)