Matrix transposition and braid reversion
Rings and Algebras
2011-02-22 v1 Representation Theory
Abstract
Matrix transposition induces an involution on the isomorphism classes of semi-simple n-dimensional representations of the three string braid group. We show that a connected component of this variety can detect braid-reversion or that the involution acts as the identity on it. We classify the fixed-point components.
Cite
@article{arxiv.1102.4188,
title = {Matrix transposition and braid reversion},
author = {Lieven Le Bruyn},
journal= {arXiv preprint arXiv:1102.4188},
year = {2011}
}