Braid groups and Iwahori-Hecke algebras
| dc.creator | Bigelow, Stephen | |
| dc.date | 2005-05-04 | |
| dc.date.accessioned | 2026-07-07T05:19:38Z | |
| dc.date.available | 2026-07-07T05:19:38Z | |
| dc.description | This article was submitted to a volume under preparation, with Benson Farb as the editor, on the topic of open problems in surface mapping class groups. The braid group B_n is the mapping class group of an n-times punctured disk. The Iwahori-Hecke algebra H_n is a quotient of the braid group algebra of B_n by a quadratic relation in the standard generators. We discuss how to use H_n to define the Jones polynomial of a knot or link. We also summarize the classification of the irreducible representations of H_n. We conclude with some directions for future research that would apply mapping class group techniques to questions related to H_n. | |
| dc.description | 15 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0505064 | |
| dc.identifier | http://arxiv.org/abs/math/0505064 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75085 | |
| dc.subject | Geometric Topology | |
| dc.subject | 20F36 (Primary) 20C08, 57M27 (Secondary) | |
| dc.title | Braid groups and Iwahori-Hecke algebras | |
| dc.type | text |