Power sums and Homfly skein theory
| dc.creator | Morton, Hugh R. | |
| dc.date | 2001-11-08 | |
| dc.date | 2002-10-20 | |
| dc.date.accessioned | 2026-07-07T04:44:28Z | |
| dc.date.available | 2026-07-07T04:44:28Z | |
| dc.description | The Murphy operators in the Hecke algebra H_n of type A are explicit commuting elements, whose symmetric functions are central in H_n. In [Skein theory and the Murphy operators, J. Knot Theory Ramif. 11 (2002), 475-492] I defined geometrically a homomorphism from the Homfly skein C of the annulus to the centre of each algebra H_n, and found an element P_m in C, independent of n, whose image, up to an explicit linear combination with the identity of H_n, is the m-th power sum of the Murphy operators. The aim of this paper is to give simple geometric representatives for the elements P_m, and to discuss their role in a similar construction for central elements of an extended family of algebras H_{n,p}. | |
| dc.description | Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper15.abs.html | |
| dc.identifier | https://arxiv.org/abs/math/0111101 | |
| dc.identifier | http://arxiv.org/abs/math/0111101 | |
| dc.identifier | Geom. Topol. Monogr. 4 (2002) 235-244 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62601 | |
| dc.subject | Geometric Topology | |
| dc.subject | Quantum Algebra | |
| dc.subject | 57M25, 20C08 | |
| dc.title | Power sums and Homfly skein theory | |
| dc.type | text |