# Braids inside the Birman-Wenzl-Murakami algebra - Mathematics > Group Theory

Abstract: We determine the Zariski closure of the representations of the braid groupsthat factorize through the Birman-Wenzl-Murakami algebra, for generic values ofthe parameters $\alpha,s$. For $\alpha,s$ of modulus 1 and close to 1, we provethat these representations are unitarizable, thus deducing the topologicalclosure of the image when in addition $\alpha,s$ are algebraically independent.

Author: Ivan Marin

Source: https://arxiv.org/