Noncommutative integrability and recursion operators

Authors
Sparano, GG Vilasi, G
Citation
Gg. Sparano et G. Vilasi, Noncommutative integrability and recursion operators, J GEOM PHYS, 36(3-4), 2000, pp. 270-284
Citations number
38
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF GEOMETRY AND PHYSICS
ISSN journal
03930440 → ACNP
Volume
36
Issue
3-4
Year of publication
2000
Pages
270 - 284
Database
ISI
SICI code
0393-0440(200012)36:3-4<270:NIARO>2.0.ZU;2-R
Abstract
Geometric structures underlying commutative and noncommutative integrable d ynamics are analyzed. They lead to a new characterization of noncommutative integrability in terms of spectral properties and of Nijenhuis torsion of an invariant (1,1) tensor field. The construction of compatible symplectic structures is also discussed. (C) 2000 Elsevier Science B.V. Ail rights res erved. MSC: 58F05.