Representations of Skew Left Braces of order $pq$

Nishant Rathee; Ayush Udeep

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arXiv · 2503.04401

Representations of Skew Left Braces of order $pq$

Nishant Rathee·Ayush Udeep

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Abstract

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

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Nishant Rathee, Ayush Udeep. 2025-03-06. Representations of Skew Left Braces of order $pq$. https://arxiv.org/abs/2503.04401

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