Dense families of B-3-representations and braid reversion

作者：Le Bruyn Lieven^*

来源：Journal of Pure and Applied Algebra, 2011, 215(5): 1003-1014.

DOI：10.1016/j.jpaa.2010.07.006

We prove that all components of n-dimensional simple representations of the three string braid group B-3 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 B-3-representations detecting braid reversion.

• 出版日期2011-5