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arXiv · 1003.1610

Rationality and dense families of B(3) representations

Lieven Le Bruyn
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Abstract

Every irreducible component of the variety of semi-simple n-dimensional representations of the modular group has a Zariski dense subset contained in the image of an etale map from a rational quotient variety of representations of a fixed quiver Q. As an application we prove that there is a unique component of 6-dimensional representations of the three string braid group B(3) able to detect braid-reversion. Further, we give explicit rational parametrizations of dense families of simple B(3)-representations in all dimensions < 12.

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Lieven Le Bruyn. 2010-03-08. Rationality and dense families of B(3) representations. https://arxiv.org/abs/1003.1610

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