Cabling Burau Representation
Abstract
The Burau representation enables to define many other representations of the braid group Bn by the topological operation of ``cabling braids''. We show here that these representations split into copies of the Burau representation itself and of a representation of Bn/(Pn,Pn). In particular, we show that there is no gain in terms of faithfulness by cabling the Burau representation.
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