On the lattice-geometry and birational group of the six-point multi-ratio equation

Atkinson, James (2014) On the lattice-geometry and birational group of the six-point multi-ratio equation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 471 (2173). p. 20140612. ISSN 1364-5021

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Official URL: http://dx.doi.org/10.1098/rspa.2014.0612

Abstract

The inherent self-consistency properties of the six-point multi-ratio equation allow it to be considered on a domain associated with a T-shaped Coxeter–Dynkin diagram. This extends the Kadomtsev–Petviashvili lattice, which has AN symmetry, and incorporates also Korteweg–de Vries-type dynamics on a sub-domain with DN symmetry, and Painlevé dynamics on a sub-domain with E∼8 symmetry. More generally, it can be seen as a distinguished representation of Coble’s Cremona group associated with invariants of point sets in projective space.

Item Type: Article
Subjects: G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Becky Skoyles
Date Deposited: 05 Jan 2015 09:12
Last Modified: 10 Aug 2015 11:02
URI: http://nrl.northumbria.ac.uk/id/eprint/18530

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