$N$-Dimensional Representations of the Braid Groups $B_{N}$

Details $N$-Dimensional Representations of the Braid Groups $B_{N}$ $N$-Dimensional Representations of the Braid Groups $B_{N}$

1994-04-19

arxiv.org/abs/hep-th/9404111v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

In this note, a new class of representations of the braid groups $B_{N}$ is
constructed. It is proved that those representations contain three kinds of
irreducible representations: the trivial (identity) one, the Burau one, and an
$N$-dimensional one. The explicit form of the $N$-dimensional irreducible
representation of the braid group $B_{N}$ is given here.

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