Murphy operators in Knot Theory



Morton, HR ORCID: 0000-0002-8524-2695
(2006) Murphy operators in Knot Theory. In: Differential Geometry and Physics. Nankai Tracts in Mathematics, 10 . WORLD SCIENTIFIC,Singapore, pp. 359-366. ISBN 978-981-270-377-4, 9812703772

[img] Text
nankai.pdf - Unspecified

Download (82kB)

Abstract

The Murphy operators in the Hecke algebra Hn are commuting elements which arose originally in an algebraic setting in connection with representation theory. They can be represented diagrammatically in a Homfly skein theory version of Hn. Symmetric functions of the Murphy operators are known to lie in the centre of Hn. Diagrammatic views of these are given which demonstrate their algebraic properties readily, and how analogous central elements can be constructed diagrammatically in some related algebras.

Item Type: Book Section
Depositing User: Symplectic Admin
Date Deposited: 23 Jan 2017 10:10
Last Modified: 19 Jan 2023 07:20
DOI: 10.1142/9789812772527_0031
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3005318