On the linear representation of braid groups

D. D. Long

Type: Article

Publication Date: 1989-02-01

Citations: 35

DOI: https://doi.org/10.1090/s0002-9947-1989-0943606-3

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Locations

Transactions of the American Mathematical Society - View

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Works That Cite This (34)

Action	Title	Year	Authors
+	An approach to automorphisms of free groups and braids via transvections	1992	Stephen P. Humphries
+	Linear-central filtrations and the image of the Burau representation	2019	Nick Salter
+	Generalized Long-Moody representations of braid groups	2008	Stephen Bigelow Jianjun Paul Tian
+ PDF Chat	A note on representations of welded braid groups	2020	Paolo Bellingeri Arthur Soulié
+	Some Representations of Groups of Automorphisms of a Free Group	1996	Roger C. Alperin Claudio Procesi
+	Weak faithfulness properties for the Burau representation	1996	Patrick Dehornoy
+ PDF Chat	The Burau representation of the braid group 𝐵_{𝑛} is unfaithful for large 𝑛	1991	John Atwell Moody
+ PDF Chat	The faithfulness question for the Burau representation	1993	John Atwell Moody
+	A Casson-Lin type invariant for links	2009	Eric Harper Nikolai Saveliev
+	Spin representations of Artin's braid group	2007	Jianjun Paul Tian Xiao-Song Lin

Works Cited by This (12)

Action	Title	Year	Authors
+	The Representation Theory of the Symmetric Group	1984	James
+	Braids, Links, and Mapping Class Groups	1974	Joan S. Birman
+	Lectures on Symplectic Manifolds	1977	Alan Weinstein
+	A note on the normal subgroups of mapping class groups	1986	D. D. Long
+	Rings of Fricke characters and automorphism groups of free groups	1980	Wilhelm Magnus
+	Almost all subgroups of a Lie group are free	1971	D. B. A. Epstein
+ PDF Chat	The Burau representation is unitary	1984	Craig C. Squier
+	On the Jones polynomial of closed 3-braids	1985	Joan S. Birman
+ PDF Chat	A polynomial invariant for knots via von Neumann algebras	1985	Vaughan F. R. Jones
+	Lectures on Lie groups	1969	J. F. Adams