3 citations · 11 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
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-…
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 …