Title :

Braids and crossed modules

Author(s) :

Huebschmann, Johannes [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

J. of Group Theory

Pages :

57-83

Publication date :

2012

English keyword(s) :

Crossed module
identities among relations
geometric realization of a presention
pictures
Peiffer identities
Schur multiplicator
braid
braid group
augmented rack
automorphic structure
knot
link
tangle
quandle
knot group
link group
Hecke algebra
Wirtinger presentation
universal central extension
parallelohedron
permutahedron
operad

HAL domain(s) :

Mathématiques [math]/Topologie algébrique [math.AT]
Mathématiques [math]/Théorie des groupes [math.GR]

English abstract : [en]

We describe Artin's braid group on a (fixed) finite number of strings as a crossed module over itself. In particular, we interpret the braid relations as crossed module structure relations.We describe Artin's braid group on a (fixed) finite number of strings as a crossed module over itself. In particular, we interpret the braid relations as crossed module structure relations.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Comment :

18 pages

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Submission date :

2025-01-24T10:17:23Z