TRIGONOMETRIC DARBOUX TRANSFORMATIONS AND CALOGERO–MOSER MATRICES
Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 95-106

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DOI

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.
DOI : 10.1017/S0017089508004813
Mots-clés : 35Q53, 37K10
HAINE, LUC; HOROZOV, EMIL; ILIEV, PLAMEN. TRIGONOMETRIC DARBOUX TRANSFORMATIONS AND CALOGERO–MOSER MATRICES. Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 95-106. doi: 10.1017/S0017089508004813
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     title = {TRIGONOMETRIC {DARBOUX} {TRANSFORMATIONS} {AND} {CALOGERO{\textendash}MOSER} {MATRICES}},
     journal = {Glasgow mathematical journal},
     pages = {95--106},
     year = {2009},
     volume = {51},
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     doi = {10.1017/S0017089508004813},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004813/}
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