Geodesic
On the representation theory of an algebra of braids and ties.
Journal of Algebraic Combinatorics, Tome 33 (2011) no. 1, pp. 57-79.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider the algebra $\Cal E _{ n }( u)$ introduced by Aicardi and Juyumaya as an abstraction of the Yokonuma-Hecke algebra. We construct a tensor space representation for $\Cal E _{ n }( u)$ and show that this is faithful. We use it to give a basis of $\Cal E _{ n }( u)$ and to classify its irreducible representations.
Keywords: keywords diagram algebras, symmetric group, Specht modules 
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Ryom-Hansen, Steen. On the representation theory of an algebra of braids and ties.. Journal of Algebraic Combinatorics, Tome 33 (2011) no. 1, pp. 57-79. http://geodesic.mathdoc.fr/item/JAC_2011__33_1_a6/