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.References
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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.
- © Copyright 2017 American Mathematical Society
- Journal: Trans. Moscow Math. Soc. 2017, 109-121
- DOI: https://doi.org/10.1090/mosc/267
- MathSciNet review: 3738080
Dedicated: Dedicated to E. B. Vinberg on the occasion of his 80th birthday