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.
