On the Representation Theory of an Algebra of Braids and Ties

Details On the Representation Theory of an Algebra of Braids and Ties On the Representation Theory of an Algebra of Braids and Ties

2008-01-23

arxiv.org/abs/0801.3633v4

Mathematics

Representation Theory

24 pages. Final version. To appear in Journal of Algebraic Combinatorics.

Scientific paper

We consider the algebra ${\cal E}_n(u)$ introduced by F. Aicardi and J.
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 for ${\cal E}_n(u)$ and to classify its irreducible
representations.

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