Abstract
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Using Salem numbers, this paper gives real specializations of sesquilinear
representations of the braid groups that make the images discrete groups. This
method is applied to the Burau, Jones and Lawrence–Krammer representations, and
some details on the commensurability of the target groups are given.
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Keywords
braid groups, discrete representations of the braid groups,
Burau representation, Jones representations,
Lawrence–Krammer representation
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Mathematical Subject Classification 2010
Primary: 20C08, 57M99
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Publication
Received: 13 October 2019
Revised: 3 December 2021
Accepted: 16 December 2021
Published: 25 July 2023
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