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Cohomologies of Reynolds Lie-Yamaguti algebras of any weight and applications https://arxiv.org/abs/2406.12859 #mathRA

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

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.

arxiv.org
June 22, 2024 at 3:10 AM · · feed2toot · 0 · 0 · 0
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