Burau Representation
Gives a Matrix representation 
of a Braid Group in terms of 
Matrices. A 
always appears in the 
position.
 |  |  | (1) |
 | |  | (2) |
 | (3) |
be the Matrix Product of Braid Words, then | (4) |
is the Alexander Polynomial and det is the Determinant.
References
Burau, W. ``Über Zopfgruppen und gleichsinnig verdrilte Verkettungen.'' Abh. Math. Sem. Hanischen Univ. 11, 171-178, 1936. Jones, V. ``Hecke Algebra Representation of Braid Groups and Link Polynomials.'' Ann. Math. 126, 335-388, 1987.
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