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On the Integration of Relative Rota-Baxter Lie Algebras
Transformation groupsIn this paper, we give the necessary and sufficient conditions of the integrability of relative Rota-Baxter Lie algebras via double Lie groups, matched pairs of Lie groups and factorization of diffeomorphisms respectively.
Jun Jiang, Yun-He Sheng, Chen-Chang Zhu
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Cohomology and relative Rota-Baxter-Nijenhuis structures on LieYRep pairs
, 2022A LieYRep pair consists of a Lie-Yamaguti algebra and its representation. In this paper, we establish the cohomology theory of LieYRep pairs and characterize their linear deformations by the second cohomology group.
Jia Zhao, Yu Qiao
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A SAT Attack on Rota's Basis Conjecture
International Conference on Theory and Applications of Satisfiability Testing, 2022Markus Kirchweger +2 more
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Rota–Baxter operators on groups
Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2023Vsevolod Gubarev, Valeriy G Bardakov
exaly
Representations and cohomologies of relative Rota-Baxter Lie algebras and applications
Journal of Algebra, 2022Yunhe Sheng, Jun Jiang
exaly
Rota—Baxter groups, skew left braces, and the Yang—Baxter equation
Journal of Algebra, 2022Vsevolod Gubarev, Valeriy G Bardakov
exaly
Modules of Non-unital Polynomial Rota-Baxter Algebras
Algebras and Representation Theory, 2022Xiao-Min Tang, Na Liu
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Rota–Baxter coalgebras and Rota–Baxter bialgebras
Linear and Multilinear Algebra, 2016Linlin Liu
exaly

