Representations of Skew Left Braces of order $pq$

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 $p^2{q}^2$ arising from skew left braces, where $p>q$ are primes. To achieve this, we classify all semidirect product groups ${\mathrm{\Lambda }}_A$ associated with skew left braces $A$ of order $pq$, up to isomorphism.