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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 263, Pages 216–226 (Mi tm793)  
This article is cited in 3 scientific papers (total in 3 papers)

Lax Operator Algebras and Integrable Hierarchies

O. K. Sheinmanab

a Steklov Mathematical Institute, Russian Academy of Sciences
b Independent University of Moscow
Full-text PDF (200 kB) Citations (3)
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Abstract: We study applications of a new class of infinite-dimensional Lie algebras, called Lax operator algebras, which goes back to the works by I. Krichever and S. Novikov on finite-zone integration related to holomorphic vector bundles and on Lie algebras on Riemann surfaces. Lax operator algebras are almost graded Lie algebras of current type. They were introduced by I. Krichever and the author as a development of the theory of Lax operators on Riemann surfaces due to I. Krichever, and further investigated in a joint paper by M. Schlichenmaier and the author. In this article we construct integrable hierarchies of Lax equations of that type.
Received in July 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 263, Pages 204–213
DOI: https://doi.org/10.1134/S0081543808040159
Bibliographic databases:
Document Type: Article
UDC: 512.554.32
Language: Russian
Citation: O. K. Sheinman, “Lax Operator Algebras and Integrable Hierarchies”, Geometry, topology, and mathematical physics. I, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 263, MAIK Nauka/Interperiodica, Moscow, 2008, 216–226; Proc. Steklov Inst. Math., 263 (2008), 204–213
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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