Automorphic Lie algebras with dihedral symmetry

Knibbeler, Vincent, Lombardo, Sara and Sanders, Jan (2014) Automorphic Lie algebras with dihedral symmetry. Journal of Physics A: Mathematical and Theoretical, 47 (36). pp. 365201-365220. ISSN 1751-8113

[img]
Preview
Text
KLS.pdf - Accepted Version

Download (368kB) | Preview
Official URL: http://dx.doi.org/10.1088/1751-8113/47/36/365201

Abstract

The concept of automorphic Lie algebras arises in the context of reduction groups introduced in the early 1980s in the field of integrable systems. Automorphic Lie algebras are obtained by imposing a discrete group symmetry on a current algebra of Krichever–Novikov type. Past work shows remarkable uniformity between algebras associated to different reduction groups. For example, if the base Lie algebra is sl2(C) and the poles of the automorphic Lie algebra are restricted to an exceptional orbit of the symmetry group, changing the reduction group does not affect the Lie algebra structure. In this research we fix the reduction group to be the dihedral group and vary the orbit of poles as well as the group action on the base Lie algebra. We find a uniform description of automorphic Lie algebras with dihedral symmetry, valid for poles at exceptional and generic orbits.

Item Type: Article
Uncontrolled Keywords: automorphic Lie algebras; classical invariant theory; dihedral symmetry
Subjects: G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics and Information Sciences
Depositing User: Paul Burns
Date Deposited: 22 Aug 2014 10:07
Last Modified: 17 May 2017 08:30
URI: http://nrl.northumbria.ac.uk/id/eprint/17484

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics


Policies: NRL Policies | NRL University Deposit Policy | NRL Deposit Licence