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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 122, Number 2, Pages 251–271
DOI: https://doi.org/10.4213/tmf567 (Mi tmf567) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Graded Lie algebras, representation theory, integrable mappings, and integrable systems

A. N. Leznovab

a Institute for High Energy Physics
b National Autonomous University of Mexico, Institute of Applied Mathematics and Systems
Full-text PDF (301 kB) Citations (16)
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DOI: https://doi.org/10.4213/tmf567
Abstract: A new class of integrable mappings and chains is introduced. The corresponding $1+2$ integrable systems that are invariant under such integrable mappings are presented in an explicit form. Soliton-type solutions of these systems are constructed in terms of matrix elements of fundamental representations of semisimple $A_n$ algebras for a given group element. The possibility of generalizing this construction to the multidimensional case is discussed.
English version:
Theoretical and Mathematical Physics, 2000, Volume 122, Issue 2, Pages 211–228
DOI: https://doi.org/10.1007/BF02551198
Bibliographic databases:
Language: Russian
Citation: A. N. Leznov, “Graded Lie algebras, representation theory, integrable mappings, and integrable systems”, TMF, 122:2 (2000), 251–271; Theoret. and Math. Phys., 122:2 (2000), 211–228
Citation in format AMSBIB
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\paper Graded Lie algebras, representation theory, integrable mappings, and integrable systems
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\pages 251--271
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\jour Theoret. and Math. Phys.
\yr 2000
\vol 122
\issue 2
\pages 211--228
\crossref{https://doi.org/10.1007/BF02551198}
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:62
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