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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 279, Pages 72–80 (Mi tm3433)  
This article is cited in 5 scientific papers (total in 5 papers)

Extended solutions in a noncommutative sigma model

A. V. Domrina

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia
Full-text PDF (183 kB) Citations (5)
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Abstract: The notion of an extended solution plays a key role in Uhlenbeck's approach to the description of harmonic maps to the unitary group. In the present paper, we extend this notion to the case of a noncommutative sigma model (a quantum analog of harmonic spheres in the unitary group) and use it to establish that the minimum uniton number of any diagonal solution is equal to the canonical rank of this solution.
Received in March 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 279, Pages 64–72
DOI: https://doi.org/10.1134/S0081543812080068
Bibliographic databases:
Document Type: Article
UDC: 517.958+530.145.83
Language: Russian
Citation: A. V. Domrina, “Extended solutions in a noncommutative sigma model”, Analytic and geometric issues of complex analysis, Collected papers, Trudy Mat. Inst. Steklova, 279, MAIK Nauka/Interperiodica, Moscow, 2012, 72–80; Proc. Steklov Inst. Math., 279 (2012), 64–72
Citation in format AMSBIB
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\by A.~V.~Domrina
\paper Extended solutions in a~noncommutative sigma model
\inbook Analytic and geometric issues of complex analysis
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2012
\vol 279
\pages 72--80
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3086758}
\elib{https://elibrary.ru/item.asp?id=18447436}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2012
\vol 279
\pages 64--72
\crossref{https://doi.org/10.1134/S0081543812080068}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000314063000006}
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  • https://www.mathnet.ru/eng/tm/v279/p72
    • 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
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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