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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 154, Number 3, Pages 451–476
DOI: https://doi.org/10.4213/tmf6181 (Mi tmf6181) 		 
This article is cited in 5 scientific papers (total in 5 papers)

$\mathbb Z$-graded loop Lie algebras, loop groups, and Toda equations

Kh. Nirova, A. V. Razumovb

a Institute for Nuclear Research, Russian Academy of Sciences
b Institute for High Energy Physics
Full-text PDF (675 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf6181
Abstract: We consider Toda equations associated with twisted loop groups. Such equations are specified by $\mathbb Z$-gradings of the corresponding twisted loop Lie algebras. We discuss the classification of Toda equations related to twisted loop Lie algebras with integrable $\mathbb Z$-gradings.
Keywords: Toda equation, loop group, $\mathbb Z$-graded loop Lie algebra.
English version:
Theoretical and Mathematical Physics, 2008, Volume 154, Issue 3, Pages 385–404
DOI: https://doi.org/10.1007/s11232-008-0034-7
Bibliographic databases:
Language: Russian
Citation: Kh. Nirov, A. V. Razumov, “$\mathbb Z$-graded loop Lie algebras, loop groups, and Toda equations”, TMF, 154:3 (2008), 451–476; Theoret. and Math. Phys., 154:3 (2008), 385–404
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v154/i3/p451
    • This publication is cited in the following 5 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:69
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