ISSN:
1573-0530
Keywords:
integrable systems
;
loop algebras
;
isospectral flow
;
spectral Darboux coordinates.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract The method of constructing spectral Darboux coordinates on finite-dimensional coadjoint orbits induals of loop algebras is applied to the one pole case, where the orbit isidentified with a coadjoint orbit in the dual of a finite-dimensional Liealgebra. The constructions are carried out explicitly when the Lie algebra is sl(2, R),sl(3,R), andso(3, R), and for rank twoorbits is so(n, R). A new feature thatappears is the possibility of identifying spectralDarboux coordinatesassociated to ‘dynamical’ choices of sections of the associatedeigenvector line bundles; i.e.sections that depend on the point within the given orbit.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1007355508426
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