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arxiv: 1102.4188 · v1 · pith:DTPTF7MSnew · submitted 2011-02-21 · 🧮 math.RA · math.RT

Matrix transposition and braid reversion

classification 🧮 math.RA math.RT
keywords braidinvolutionmatrixtranspositionactsbraid-reversionclassesclassify
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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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