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The Burau representation of the braid group ๐ต_{๐‘›} is unfaithful for large ๐‘›

The Burau representation of the braid group ๐ต_{๐‘›} is unfaithful for large ๐‘›

Two fundamental theorems of classical knot theory, by J. Alexander, are that every knot is a closed braid, and second, that a certain procedure (see [1,2] for both results) assigns to each knot K a polynomial A(K) in T, which only depends on the topological type of the knot once โ€ฆ