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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 111, Number 3, Pages 423–438
DOI: https://doi.org/10.4213/tmf1019 (Mi tmf1019) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Cartan–Weyl basis for $DY(sl_3)$

A. V. Solov'ev

M. V. Lomonosov Moscow State University
Full-text PDF (268 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf1019
Abstract: The double of the Yangian $Y(sl_3)$ defined via Chavelly generators is constructed. The Cartan–Weyl basis ensuring an analog of the Poincare–Birkhoff–Witt theorem is obtained. This basis is used to define the action of the comultiplication on the Chavelley generators. The explicit description of the double $DY(sl_3)$ is given and the universal $R$-matrix is computed.
Received: 20.08.1996
English version:
Theoretical and Mathematical Physics, 1997, Volume 111, Issue 3, Pages 731–743
DOI: https://doi.org/10.1007/BF02634061
Bibliographic databases:
Language: Russian
Citation: A. V. Solov'ev, “Cartan–Weyl basis for $DY(sl_3)$”, TMF, 111:3 (1997), 423–438; Theoret. and Math. Phys., 111:3 (1997), 731–743
Citation in format AMSBIB
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\by A.~V.~Solov'ev
\paper Cartan--Weyl basis for $DY(sl_3)$
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\issue 3
\pages 423--438
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\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 111
\issue 3
\pages 731--743
\crossref{https://doi.org/10.1007/BF02634061}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997YC44100009}
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  • https://www.mathnet.ru/eng/tmf/v111/i3/p423
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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