I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2001, VOLUME 7, NUMBER 3, PAGES 683-698
E. E. Demidov
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The concept of Schur pairs emerges naturally when the
KP-hierarchy is treated geometrically as a dynamical system on
an infinite-dimensional Grassmann manifold.
On the other hand, these pairs classify the commutative
subalgebras of differential operators.
Analyzing these interrelations one can obtain a solution of
the classical Schottky problem or a version of
the Burchnall--Chaundy--Krichever correspondence.
The article is devoted to a non-commutative analogue of
the Schur pairs.
The author has introduced the KP-hierarchy with
non-commutative time space (
All articles are published in Russian.
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Last modified: December 23, 2001