$N$-Dimensional Representations of the Braid Groups $B

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152618In 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.High Energy Physics - TheoryQuantum Algebra$N$-Dimensional Representations of the Braid Groups $B_{N}$text