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On the Integration of Relative Rota-Baxter Lie Algebras

Transformation groups
In 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
semanticscholar   +1 more source

Cohomology and relative Rota-Baxter-Nijenhuis structures on LieYRep pairs

, 2022
A 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
semanticscholar   +1 more source

A SAT Attack on Rota's Basis Conjecture

International Conference on Theory and Applications of Satisfiability Testing, 2022
Markus Kirchweger   +2 more
semanticscholar   +1 more source

Rota–Baxter operators on groups

Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2023
Vsevolod Gubarev, Valeriy G Bardakov
exaly  

Rota—Baxter groups, skew left braces, and the Yang—Baxter equation

Journal of Algebra, 2022
Vsevolod Gubarev, Valeriy G Bardakov
exaly  

Modules of Non-unital Polynomial Rota-Baxter Algebras

Algebras and Representation Theory, 2022
Xiao-Min Tang, Na Liu
semanticscholar   +1 more source

Rota–Baxter coalgebras and Rota–Baxter bialgebras

Linear and Multilinear Algebra, 2016
Linlin Liu
exaly  

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