Results 131 to 140 of about 285 (147)
A generalized Burau representation for string links [PDF]
Pacific Journal of Mathematics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniel S Silver +2 more
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Linear-central filtrations and the image of the Burau representation [PDF]
Geometriae Dedicata, 2020 The Burau representation is a fundamental bridge between the braid group and diverse other topics in mathematics. A 1974 question of Birman asks for a description of the image; in this paper we give a "strong approximation" to the answer. Since a 1984 paper of Squier it has been known that the Burau representation preserves a certain Hermitian form. We
Nick Salter
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Caractérisations de la représentation de Burau
, 2003 This paper is devoted to characterizations of the (reduced) Burau representation of the Artin braid group, in terms of rigid local systems. We prove that the Burau representation is the only representation of the Hecke algebra for which some local system
Ivan Marin
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Image of the Burau representation at d-th roots of unity [PDF]
Annals of Mathematics, 2014 We prove that the image of the Full braid group $B_{n+1}$ on $n+1$ strands under the Burau representation, evaluated at a primitive $d$-th root of unity is arithmetic provided $n\geq d$.
T N Venkataramana
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Some of the next articles are maybe not open access.
WADA'S REPRESENTATION IS OF BURAU TYPE
International Journal of Algebra and Computation, 2007We consider the Magnus representation of the image of the braid group under a representation discovered by Wada. We first investigate the question about the reducibility of this representation and show that it is of Burau type. Next, we show that the images of the generators of the braid group under that representation are unitary relative to a ...
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The Burau representation of the braid group is pairwise free
Archiv Der Mathematik, 1979exaly +3 more sources
A Search for Kernels of Burau Representations
1993John Moody [8], proved in 1991 that the Burau representation βn of the n-strand braid group B n is not faithful if n ≥ 9. This result was improved to n ≥6 by Darren Long and Michael Paton [5]. A description of this work is given. Using these results, a (so far unsuccessful!) computer search for non-trivial elements in the kernel of β4 and β5 was made.
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Linear Algebra and its Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A categorification of the Burau representation via contact geometry
2015The goal of this paper is to describe the contact category C(Dn) associated to a disk with n holes removed, as well as its universal cover.
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