Matrix transposition and braid reversion

2011/02/21 by Lieven Le Bruyn, Bruyn, Lieven Le
Engineering · Mathematics · #Advanced Antenna and Metasurface Technologies #math.RA #math.RT

paper · pdf · doi:10.48550/arxiv.1102.4188

arxiv created 2011/02/21 · arxiv updated 2011/02/22

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.

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