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TMF, 1997, Volume 111, Number 3, Pages 423–438 (Mi tmf1019)  

Cartan–Weyl basis for $DY(sl_3)$

A. V. Solov'ev

M. V. Lomonosov Moscow State University

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.

DOI: https://doi.org/10.4213/tmf1019

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English version:
Theoretical and Mathematical Physics, 1997, 111:3, 731–743

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Received: 20.08.1996

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 $DY(sl_3)$
\jour TMF
\yr 1997
\vol 111
\issue 3
\pages 423--438
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\crossref{https://doi.org/10.4213/tmf1019}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1472218}
\zmath{https://zbmath.org/?q=an:0978.17500}
\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 111
\issue 3
\pages 731--743
\crossref{https://doi.org/10.1007/BF02634061}
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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