3 papers
math.GR2026
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.GR2026
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…
math.GR2025
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 \( p^2q^2 \)…