Burau Representation
المؤلف:
Burau, W.
المصدر:
"Über Zopfgruppen und gleichsinnig verdrilte Verkettungen." Abh. Math. Sem. Hanischen Univ. 11
الجزء والصفحة:
...
7-6-2021
1758
Burau Representation
Gives a matrix representation
of a braid group in terms of
matrices. A
always appears in the
position.
Let
be the matrix product of braid words, then
 |
(4)
|
where
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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