THE FLOW OF THE G(2) PERIODIC TODA LATTICE

Authors
MCDANIEL A SMOLINSKY L
Citation
A. Mcdaniel et L. Smolinsky, THE FLOW OF THE G(2) PERIODIC TODA LATTICE, Journal of mathematical physics, 38(2), 1997, pp. 926-945
Citations number
13
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
38
Issue
2
Year of publication
1997
Pages
926 - 945
Database
ISI
SICI code
0022-2488(1997)38:2<926:TFOTGP>2.0.ZU;2-B
Abstract
In the study of the generalized periodic Toda lattices, Mark Adler and Pierre van Moerbeke showed that the flow of the G(2) periodic Toda la ttice has a 2-dimensional sub-Abelian variety of a 3-dimensional Prym variety as its Hamiltonian torus. In this paper it is shown that the 2 -dimensional torus is a Prym-Tjurin variety and is explained in terms of the Weyl group of G(2). This example is small enough to be explicit ly computable. (C) 1997 American Institute of Physics.