Image of the braid groups inside the finite Temperley-Lieb algebras

Details Image of the braid groups inside the finite Temperley-Lieb algebras Image of the braid groups inside the finite Temperley-Lieb algebras

2012-03-23

arxiv.org/abs/1203.5210v1

Mathematics

Geometric Topology

Scientific paper

We determine the image of the braid groups inside the Temperley-Lieb algebras, defined over finite field, in the semisimple case, and for suitably large (but controlable) order of the defining (quantum) parameter. We also prove that, under natural conditions on this parameter, the representations of the Hecke algebras over a finite field are unitary for the action of the braid groups.

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