Article ID Journal Published Year Pages File Type
4596819 Journal of Pure and Applied Algebra 2011 12 Pages PDF
Abstract

We prove that all components of n-dimensional simple representations of the three string braid group B3 are densely parametrized by rational quiver varieties and give explicit parametrizations for n<12. As an application we show that there is a unique component of 6-dimensional simple B3-representations detecting braid reversion.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory