Lie n-algebras and cohomologies of relative Rota-Baxter operators on n-Lie algebras
نویسندگان
چکیده
Based on the differential graded Lie algebra controlling deformations of an n-Lie with a representation (called n-LieRep pair), we construct n-algebra, whose Maurer-Cartan elements characterize relative Rota-Baxter operators pairs. The notion n-pre-Lie is introduced, which underlying algebraic structure operator. We give cohomology and study infinitesimal extensions order m to m+1 through groups operators. Moreover, build relation between pairs those (n+1)-LieRep by certain linear functions.
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2023
ISSN: ['1879-1662', '0393-0440']
DOI: https://doi.org/10.1016/j.geomphys.2023.104785