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Volume 23 Number 2 >

Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/574

Title: Highest Weight Modules of W1+∞, Darboux Transformations and the Bispectral Problem
Authors: Bakalov, B.
Horozov, E.
Yakimov, M.
Keywords: Bispectral Operators
Darboux Transformations
W–Algebras
Highest Weight Representations
KP–Hierarchy
Issue Date: 1997
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 23, No 2, (1997), 95p-112p
Abstract: 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 operators of rank and order two.
URI: http://hdl.handle.net/10525/574
ISSN: 1310-6600
Appears in Collections:Volume 23 Number 2

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