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On the representation theory of an algebra of braids and ties

Authors
  • Ryom-Hansen, Steen1
  • 1 Universidad de Talca, Instituto de Matemática y Física, Talca, Chile , Talca (Chile)
Type
Published Article
Journal
Journal of Algebraic Combinatorics
Publisher
Springer US
Publication Date
May 07, 2010
Volume
33
Issue
1
Pages
57–79
Identifiers
DOI: 10.1007/s10801-010-0233-9
Source
Springer Nature
Keywords
License
Yellow

Abstract

We consider the algebra ℰn(u) introduced by Aicardi and Juyumaya as an abstraction of the Yokonuma–Hecke algebra. We construct a tensor space representation for ℰn(u) and show that this is faithful. We use it to give a basis of ℰn(u) and to classify its irreducible representations.

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