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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 127, Number 3, Pages 356–366
DOI: https://doi.org/10.4213/tmf463 (Mi tmf463) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Yangians and $\mathcal W$-Algebras

C. Briot, E. Ragoucy

Universite de Savoie
Full-text PDF (260 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf463
Abstract: We present a connection between $\mathcal W$-algebras and Yangians in the case of $gl(N)$ algebras, as well as for twisted Yangians and super-Yangians. We illustrate this connection, which allows constructing an $R$-matrix for the $\mathcal W$-algebras and classifying their finite-dimensional irreducible representations, in the framework of the nonlinear Schrödinger equation in $1+1$ dimensions.
English version:
Theoretical and Mathematical Physics, 2001, Volume 127, Issue 3, Pages 709–718
DOI: https://doi.org/10.1023/A:1010481831323
Bibliographic databases:
Language: Russian
Citation: C. Briot, E. Ragoucy, “Yangians and $\mathcal W$-Algebras”, TMF, 127:3 (2001), 356–366; Theoret. and Math. Phys., 127:3 (2001), 709–718
Citation in format AMSBIB
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\by C.~Briot, E.~Ragoucy
\paper Yangians and $\mathcal W$-Algebras
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\pages 356--366
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\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 127
\issue 3
\pages 709--718
\crossref{https://doi.org/10.1023/A:1010481831323}
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  • https://www.mathnet.ru/eng/tmf463
  • https://doi.org/10.4213/tmf463
  • https://www.mathnet.ru/eng/tmf/v127/i3/p356
    • This publication is cited in the following 3 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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    Abstract page:316
    Full-text PDF :185
    References:32
    First page:1
     
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