Abstract
We consider the algebra ℰ n (u) introduced by Aicardi and Juyumaya as an abstraction of the Yokonuma–Hecke algebra. We construct a tensor space representation for ℰ n (u) and show that this is faithful. We use it to give a basis of ℰ n (u) and to classify its irreducible representations.
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Supported in part by Programa Reticulados y Simetría and by FONDECYT grants 1051024 and 1090701.
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Ryom-Hansen, S. On the representation theory of an algebra of braids and ties. J Algebr Comb 33, 57–79 (2011). https://doi.org/10.1007/s10801-010-0233-9
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DOI: https://doi.org/10.1007/s10801-010-0233-9