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Noncommutative Geometry and Integrable Models
Authors:Dimakis  Aristophanes  MÜller-Hoissen  Folkert
Affiliation:(1) Institut für Theoretische Physik, Bunsenstr. 9, D-37073 Göttingen, Germany
Abstract:A construction of conservation laws for sgr-models in two dimensions is generalized in the framework of noncommutative geometry of commutative algebras. This is done by replacing theordinary calculus of differential forms with other differentialcalculi and introducing an analogue of the Hodge operator on thelatter. The general method is illustrated with several examples.
Keywords:completely integrable models  noncommutative geometry.
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