Abstract
For any n ≥ 3, we construct a family of finite-dimensional irreducible representations of the braid group 𝔹n. Moreover, we give necessary conditions for a member of this family to be irreducible. In particular we give a explicitly irreducible subfamily (ϕm, Vm), 1 ≤ m < n, where [Formula: see text]. The representation obtained in the case m = 1 is equivalent to the standard representation.
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