A Garside-theoretic analysis of the Burau representations
2017 ◽
Vol 26
(07)
◽
pp. 1750040
Keyword(s):
We establish relations between both the classical and the dual Garside structures of the braid group and the Burau representation. Using the classical structure, we formulate a non-vanishing criterion for the Burau representation of the 4-strand braid group. In the dual context, it is shown that the Burau representation for arbitrary braid index is injective when restricted to the set of simply-nested braids.
2007 ◽
Vol 2007
◽
pp. 1-9
Keyword(s):
2017 ◽
Vol 164
(3)
◽
pp. 493-530
◽
2005 ◽
Vol 14
(08)
◽
pp. 1087-1098
◽
Keyword(s):
2015 ◽
Vol 24
(12)
◽
pp. 1550065
Keyword(s):
1996 ◽
Vol 119
(1)
◽
pp. 43-53
◽
1991 ◽
Vol 25
(2)
◽
pp. 379-385
◽
Keyword(s):
2018 ◽
Vol 61
(2)
◽
pp. 479-497
2005 ◽
Vol 2005
(8)
◽
pp. 1321-1326
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Keyword(s):
2003 ◽
Vol 02
(02)
◽
pp. 169-175
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