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math.GR2024
Representations of skew braces
Nishant Rathee, Ayush Udeep
In this paper, we explore linear representations of skew left braces, which are known to provide bijective non-degenerate set-theoretical solutions to the Yang--Baxter equation tha…
math.RA2024★ 3 cited
Rota--Baxter operators and skew left brace structures over Heisenberg Group
Nishant Rathee
Rota--Baxter operators over groups have been recently defined in \cite{LHY2021}, and they share a close connection with skew braces, as demonstrated in \cite{VV2022}. In this paper…
math.GR2024
A Wells-like exact sequence for abelian extensions of relative Rota--Baxter groups
Pragya Belwal, Nishant Rathee
Relative Rota--Baxter groups, a generalization of Rota--Baxter groups, are closely connected to skew left braces, which play a fundamental role in understanding non-degenerate set-…