Results 121 to 130 of about 285 (147)
Weak faithfulness properties for the Burau representation
Topology and Its Applications, 1996 We study the components of the matrices that belong to the image of the Burau representation of braids, and establish both algebraic and order constraints for a given Laurent polynomial to possibly be a component of such a Burau matrix. As an application
Patrick Dehornoy
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Tensor products of specializations of the Burau representation
Journal of Pure and Applied Algebra, 2005 The reduced Burau representation is a one-parameter representation of Bn, the braid group on n strings. Specializing the parameter to a nonzero complex number y gives a representation βn(y):Bn→GL(Cn-1) which is either irreducible or has an irreducible ...
Mohammad N Abdulrahim, Edward Formanek
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Burau Representation of Braid Groups andq-Rationals
International Mathematics Research NoticesWe establish a link between the new theory of q-deformed rational numbers and the classical Burau representation of the braid group B3. We apply this link to the open problem of classification of faithful complex specializations of this representation ...
Sophie Morier-Genoud +2 more
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Burau representation and random walks on string links [PDF]
Pacific Journal of Mathematics, 1998 This paper extensively revises the first author's preprint "Burau representation and random walks on knots". He would like to thank the warm hospitality of the math department of the Chinese University of Hong Kong where this revision was ...
Zhenghan Wang, Wang Zhenghan
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On the image of the Burau representation of the IA-automorphism group of a free group [PDF]
Journal of Pure and Applied Algebra, 2010 In this paper we study the graded quotients of the lower central series of the image of the IA-automorphism group of a free group by the Burau representation.
Satoh, Takao, Takao Satoh
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On Burau’s representations at roots of unity [PDF]
Geometriae Dedicata, 2013 We consider subgroups of the braid groups which are generated by $k$-th powers of the standard generators and prove that any infinite intersection (with even $k$) is trivial. This is motivated by some conjectures of Squier concerning the kernels of Burau's representations of the braid groups at roots of unity. Furthermore, we show that the image of the
Louis Funar +2 more
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The Burau representation is not faithful for n ≥ 6
Topology, 1993 Let \(B_ n\) denote the \(n\) strand braid group. A classical object in the study of \(B_ n\) has been the Burau representation. The question of the faithfulness of this representation has for some time been a matter of interest. In the case of \(n = 3\) the Burau representation is well-known to be faithful. In [\textit{J. Moody}, Bull. Am. Math. Soc.,
D D Long
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A categorification of the Burau representation at prime roots of unity [PDF]
Selecta Mathematica, New Series, 2016 33 pages, many PSTricks figures, color viewing not essential, v2 contains minor corrections, comments ...
You Qi, Joshua Sussan
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Some of the next articles are maybe not open access.
On the Burau representation of B4
Involve, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bharathram, Vasudha, Birman, Joan
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