Displaying similar documents to “Backlund-Darboux Transformations in Sato's Grassmannian”

Highest Weight Modules of W1+∞, Darboux Transformations and the Bispectral Problem

Bakalov, B., Horozov, E., Yakimov, M. (1997)

Serdica Mathematical Journal

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This paper is a survey of our recent results on the bispectral problem. We describe a new method for constructing bispectral algebras of any rank and illustrate the method by a series of new examples as well as by all previously known ones. Next we exhibit a close connection of the bispectral problem to the representation theory of W1+∞–algerba. This connection allows us to explain and generalise to any rank the result of Magri and Zubelli on the symmetries of the manifold of the bispectral...

Calogero-Moser spaces and an adelic W -algebra

Emil Horozov (2005)

Annales de l’institut Fourier

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We introduce a Lie algebra, which we call adelic W -algebra. Then we construct a natural bosonic representation and show that the points of the Calogero-Moser spaces are in 1:1 correspondence with the tau-functions in this representation.

Composition of functions.

Muthuvel, Kandasamy (2000)

International Journal of Mathematics and Mathematical Sciences

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