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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 185, Number 3, Pages 527–544
DOI: https://doi.org/10.4213/tmf8894 (Mi tmf8894) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Hierarchies of finite-dimensional Lax equations with a spectral parameter on a Riemann surface and semisimple Lie algebras

O. K. Sheinman

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (588 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf8894
Abstract: Based on $\mathbb Z$-gradings of semisimple Lie algebras and invariant polynomials on them, we construct hierarchies of Lax equations with a spectral parameter on a Riemann surface and prove the commutativity of the corresponding flows.
Keywords: Lax operator algebra, Lax equation, hierarchy, semisimple Lie algebra, Riemann surface.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation under grant 14-50-00005.
Received: 19.02.2015
English version:
Theoretical and Mathematical Physics, 2015, Volume 185, Issue 3, Pages 1816–1831
DOI: https://doi.org/10.1007/s11232-015-0381-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. K. Sheinman, “Hierarchies of finite-dimensional Lax equations with a spectral parameter on a Riemann surface and semisimple Lie algebras”, TMF, 185:3 (2015), 527–544; Theoret. and Math. Phys., 185:3 (2015), 1816–1831
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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