Bispectral Symmetry, the Weyl Algebra and Differential Operators on Curves
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Solitons, geometry, and topology: on the crossroads, Tome 225 (1999), pp. 153-159
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A theorem of Cannings and Holland can be interpreted as identifying the space of rational solutions to the KP hierarchy with the space of isomorphism classes of right ideals in the Weyl algebra. The article sketches some applications of this connection.
@article{TM_1999_225_a8,
author = {G. Wilson},
title = {Bispectral {Symmetry,} the {Weyl} {Algebra} and {Differential} {Operators} on {Curves}},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {153--159},
publisher = {mathdoc},
volume = {225},
year = {1999},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TM_1999_225_a8/}
}
G. Wilson. Bispectral Symmetry, the Weyl Algebra and Differential Operators on Curves. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Solitons, geometry, and topology: on the crossroads, Tome 225 (1999), pp. 153-159. http://geodesic.mathdoc.fr/item/TM_1999_225_a8/