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Paper detail

Bowling ball representations of braid groups

In a remark in his seminal 1987 paper, Jones describes a way to define the Burau matrix of a positive braid using a metaphor of bowling a ball down a bowling alley with braided lanes. We extend this definition to allow multiple bowling balls to be bowled simultaneously. We obtain the Iwahori-Hecke algebra and a cabled version of the Temperley-Lieb representation.

preprint2014arXivOpen access
Stephen Bigelow
math.GT
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Stephen Bigelow

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