Cohomology and relative Rota-Baxter-Nijenhuis structures on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="sans-serif">LieYRep</mml:mi></mml:math> pairs
نویسندگان
چکیده
A LieYRep pair consists of a Lie-Yamaguti algebra and its representation. In this paper, we establish the cohomology theory pairs characterize their linear deformations by second group. Then introduce notion relative Rota-Baxter-Nijenhuis structures on pairs, investigate properties, prove that structure gives rise to compatible Rota-Baxter operators under certain condition. Finally, show equivalence between $r$-matrix-Nijenhuis algebras.
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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.2023.104749