Let Bnbe the braid group on n strings. Earlier work of E. Formanek, W. Lee and I. Sysoeva classified the irreducible complex representations of Bnof degree ≤ n, except for n = 5, 6, 7, 8. Here the classification is completed using the theory of Hecke algebra representations.
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Formanek et al. (2003) studied this question.
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