Representations of skew left braces of size pq

In this paper, we study the irreducible representations of skew left braces of size pq, which is equivalent to studying the representation theory of groups of order p 2 q 2 arising from skew left braces, where p < q are primes. To achieve this, we classify all semidirect product groups Λ A associated with skew left braces A of order pq, up to isomorphism.