On the linearity of Artin braid groups

By F. Digne. 2003

76 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8568c17d1c93790716574f4e57757e04710f9744

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Juan González-Meneses
2. J. Birman
3. Eddy Godelle
4. Ruth Charney
5. Patrick Dehornoy
6. Tara E. Brendle
7. Jean Michel
8. Daan Krammer

In Mathematical Physics

1. Juan González-Meneses
2. J. Birman
3. Eddy Godelle
4. Ruth Charney
5. Patrick Dehornoy
6. Tara E. Brendle
7. Jean Michel
8. Daan Krammer

Citations in the corpus

• Foundations of Garside Theory (2013, methodology): “In another direc tion, the algebraic proof of the linearity of braid groups as established in Krammer [158 , 159] and extended to other Artin-Tits groups of spherical type in Digne [104] and Cohen –Wales [62] uses decompositions into divisors of the Garside element.”
• The K(π,1)-conjecture for the affine braid groups (2003, background): “(For the flnite type case, see [De], [BS], [CW], [ Di ], and [C].) (1) A is torsion free.”
• Braids: A Survey (2004, background): “It turns out that, like the braid groups, all right-angled Artin groups have faithful matrix representations [58], [50].”
• Basic results on braid groups (2010, background): “This result has been generalized to all Artin-Tits groups of spherical type [20, 27, 67] (see also [47]).”