On the braid group representations coming from weakly group-theoretical fusion categories
Jason Green, Dmitri Nikshych
TL;DR
This paper proves that braid group representations derived from weakly group-theoretical braided fusion categories always have finite images, advancing understanding of their algebraic structure.
Contribution
It establishes the finiteness of braid group representations associated with weakly group-theoretical fusion categories, a novel result in the field.
Findings
Representations have finite images
Applicable to weakly group-theoretical categories
Enhances understanding of braid group representations
Abstract
We prove that representations of the braid groups coming from weakly group-theoretical braided fusion categories have finite images.
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