Deformations of Yang-Baxter operators via n-Lie algebra cohomology

We introduce a cohomology theory of n-ary self-distributive objects in the tensor category of vector spaces that classifies their infinitesimal deformations. For n-ary self-distributive objects obtained from n-Lie algebras we show that (n-ary) Lie cohomology naturally injects in the self-distributiv...

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Bibliographic Details
Main Authors: Mohamed Elhamdadi, Emanuele Zappala
Format: Article
Language:English
Published: Elsevier 2023-10-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321323002602