Matrix divisors on Riemann surfaces and Lax operator algebras

Sheinman, O.

doi:10.1090/mosc/267

Matrix divisors on Riemann surfaces and Lax operator algebras
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by O. K. Sheinman

Trans. Moscow Math. Soc. 2017, 109-121

DOI: https://doi.org/10.1090/mosc/267

Published electronically: December 1, 2017

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Abstract:

Tyurin parametrization of framed vector bundles is extended to the matrix divisors with an arbitrary semi-simple structure group. The considerations are based on the recently obtained description of Lax operator algebras and finite-dimensional integrable systems in terms of $\mathbb {Z}$-gradings of semi-simple Lie algebras.

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Bibliographic Information

O. K. Sheinman
Affiliation: Steklov Mathematical Institute of Russian Academy of Science
MR Author ID: 201393
Published electronically: December 1, 2017
Additional Notes: Partial support by the International Research Project GEOMQ11 of the University of Luxembourg and by the OPEN scheme of the Fonds National de la Recherche (FNR), Luxembourg, project QUANTMOD O13/570706, is gratefully acknowledged.

Dedicated:

Journal: Trans. Moscow Math. Soc. 2017, 109-121
DOI: https://doi.org/10.1090/mosc/267
MathSciNet review: 3738080