Morton, Hugh R ORCID: 0000-0002-8524-2695
(2001)
Power sums and Homfly skein theory.
Geom. Topol. Monogr., 4.
pp. 235-244.
Text
morton_powersums.pdf - Unspecified Access to this file is embargoed until Unspecified. Download (126kB) |
Abstract
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}.
Item Type: | Article |
---|---|
Additional Information: | Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper15.abs.html |
Uncontrolled Keywords: | math.GT, math.GT, math.QA, 57M25, 20C08 |
Depositing User: | Symplectic Admin |
Date Deposited: | 12 Apr 2016 14:29 |
Last Modified: | 17 Dec 2022 01:14 |
DOI: | 10.2140/gtm.2002.4.235 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3000253 |