Self-adjoint representations of braid groups

TL;DR

This paper introduces a new method for constructing self-adjoint representations of braid groups, producing large irreducible examples and providing conditions for their construction.

Contribution

It presents a novel approach to generate self-adjoint braid group representations, including large irreducible cases, with explicit sufficient conditions for their existence.

Findings

Constructed a family of irreducible self-adjoint representations of arbitrary large dimension.

Provided a method to systematically generate such representations.

Established conditions under which these representations can be constructed.

Abstract

We give a method to construct new self-adjoint representations of the braid group. In particular, we give a family of irreducible self-adjoint representations of dimension arbitrarily large. Moreover we give sufficient conditions for a representation to be constructed with this method.