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Cohomologies of Reynolds Lie-Yamaguti algebras of any weight and applications

Published 6 Mar 2024 in math.RA | (2406.12859v1)

Abstract: The purpose of the present paper is to investigate cohomologies of Reynolds Lie-Yamaguti algebras of any weight and provide some applications. First, we introduce the notion of Reynolds Lie-Yamaguti algebras and give some new examples. Moreover, cohomologies of Reynolds operators and Reynolds Lie-Yamaguti algebras with coefficients in a suitable representation are established. Finally, formal deformations and abelian extensions of Reynolds Lie-Yamaguti algebras are characterized in terms of lower degree cohomology groups.

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Authors (2)

  1. Wen Teng 
  2. Shuangjian Guo 

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