Remote Access Transactions of the Moscow Mathematical Society

Transactions of the Moscow Mathematical Society

ISSN 1547-738X(online) ISSN 0077-1554(print)



Matrix divisors on Riemann surfaces and Lax operator algebras

Author: O. K. Sheinman
Translated by:
Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva, tom 78 (2017), vypusk 1.
Journal: Trans. Moscow Math. Soc. 2017, 109-121
Published electronically: December 1, 2017
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Abstract | References | Additional Information

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 $ \ensuremath {\mathbb{Z}}$-gradings of semi-simple Lie algebras.

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Additional Information

O. K. Sheinman
Affiliation: Steklov Mathematical Institute of Russian Academy of Science

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: Dedicated to E. B. Vinberg on the occasion of his 80th birthday
Article copyright: © Copyright 2017 American Mathematical Society

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