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Moscow Mathematical Journal, 2015, Volume 15, Number 4, Pages 833–846
DOI: https://doi.org/10.17323/1609-4514-2015-15-4-833-846 (Mi mmj590) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Global current algebras and localization on Riemann surfaces

Oleg K. Sheinman

Department of Geometry and Topology, Steklov Mathematical Institute, Moscow
Full-text PDF Citations (6)
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DOI: https://doi.org/10.17323/1609-4514-2015-15-4-833-846
Abstract: In the present article, certain new Lie algebras of algebraic-geometrical nature, and their relations with the theory of finite-dimensional integrable systems are described.
Key words and phrases: Lax operator algebra, semisimple Lie algebra, Lax equation, grading, Hamiltonian theory.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: February 12, 2015; in revised form August 7, 2015
Bibliographic databases:
Document Type: Article
MSC: 17Bxx, 81R10, 81R12
Language: English
Citation: Oleg K. Sheinman, “Global current algebras and localization on Riemann surfaces”, Mosc. Math. J., 15:4 (2015), 833–846
Citation in format AMSBIB
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\paper Global current algebras and localization on Riemann surfaces
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  • https://www.mathnet.ru/eng/mmj/v15/i4/p833
    • This publication is cited in the following 6 articles:
    1. A. Zuevsky, “Cosimplicial cohomology of restricted meromorphic functions foliated manifolds”, Indagationes Mathematicae, 2024  crossref
    2. A. Zuevsky, “Cosimplicial meromorphic functions cohomology on complex manifolds”, Rev. Math. Phys., 35:05 (2023)  crossref
    3. Elena Yu. Bunkova, “Hirzebruch functional equation: classification of solutions”, Proc. Steklov Inst. Math., 302 (2018), 33–47  mathnet  crossref  crossref  mathscinet  isi  elib
    4. O. K. Sheinman, “Certain Reductions of Hitchin Systems of Rank 2 and Genera 2 and 3”, Dokl. Math., 97:2 (2018), 144–146  mathnet  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
    5. O. K. Sheinman, “Matrix divisors on Riemann surfaces and Lax operator algebras”, Trans. Moscow Math. Soc., 78 (2017), 109–121  mathnet  crossref  mathscinet  elib
    6. O. K. Sheinman, “Lax operator algebras and integrable systems”, Russian Math. Surveys, 71:1 (2016), 109–156  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
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