Rationality and dense families of B(3) representations
Rings and Algebras
2010-03-09 v1 Representation Theory
Abstract
Every irreducible component of the variety of semi-simple n-dimensional representations of the modular group has a Zariski dense subset contained in the image of an etale map from a rational quotient variety of representations of a fixed quiver Q. As an application we prove that there is a unique component of 6-dimensional representations of the three string braid group B(3) able to detect braid-reversion. Further, we give explicit rational parametrizations of dense families of simple B(3)-representations in all dimensions < 12.
Keywords
Cite
@article{arxiv.1003.1610,
title = {Rationality and dense families of B(3) representations},
author = {Lieven Le Bruyn},
journal= {arXiv preprint arXiv:1003.1610},
year = {2010}
}