3 citations · 11 across the 8 of their papers we have counts for
8 papers
Skew brace extensions, second cohomology and complements
Nishant Rathee, Manoj K. Yadav
We study extensions and second cohomology of skew left braces via the natural semi-direct products associated with the skew left braces. Let be a skew b…
Representations of Skew Left Braces of order
Nishant Rathee, Ayush Udeep
In this paper, we study the irreducible representations of skew braces of order \( pq \), which is equivalent to studying the representation theory of groups of order \( p^2q^2 \)…
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…
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…
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-…
Schur multiplier and Schur covers of relative Rota-Baxter groups
Pragya Belwal, Nishant Rathee, Mahender Singh
Relative Rota-Baxter groups are generalizations of Rota-Baxter groups and share a close connection with skew left braces. These structures are well-known for offering bijective non…
Cohomology and Extensions of Relative Rota-Baxter groups
Pragya Belwal, Nishant Rathee, Mahender Singh
Relative Rota-Baxter groups are generalisations of Rota-Baxter groups and recently shown to be intimately related to skew left braces, which are well-known to yield bijective non-d…
Extensions and Well's type exact sequence of skew braces
Nishant
In this article, we give a description of the split exact sequences of left skew braces. We define a free action of the second cohomology group of a left skew brace by …