a1 Department of Mathematics, Université catholique de Louvain, Chemin du Cyclotron 2, 1348 Louvain-la-Neuve, Belgium e-mail: email@example.com
a2 Department of Mathematics and Informatics, Sofia University, 5 J. Bourchier Boulevard, Sofia 1126, Bulgaria and Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Block 8, 1113 Sofia, Bulgaria e-mail: firstname.lastname@example.org
a3 School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332–0160, USA e-mail: email@example.com
We characterize in terms of Darboux transformations the spaces in the Segal–Wilson rational Grassmannian, which lead to commutative rings of differential operators having coefficients which are rational functions of ex. The resulting subgrassmannian is parametrized in terms of trigonometric Calogero–Moser matrices.
2000 Mathematics Subject Classification