Electronic Research Archive (May 2022)

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

  • Qiang Li,
  • Lili Ma

DOI
https://doi.org/10.3934/era.2022129
Journal volume & issue
Vol. 30, no. 7
pp. 2524 – 2539

Abstract

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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