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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 103, Number 3, Pages 476–488 (Mi tmf1317)  
Quantization of Poisson pencils and generalized Lie algebras

D. I. Gurevicha, V. N. Rubtsovbc

a Université de Valenciennes et du Hainaut-Cambrésis
b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
c Ècole Polytechnique
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Abstract: We describe two types of Poisson pencils generated by a linear bracket and a quadratic one arising from a classical R-matrix. A quantization scheme is discussed for each. The quantum algebras are represented as the enveloping algebras of “generalized Lie algebras”.
English version:
Theoretical and Mathematical Physics, 1995, Volume 103, Issue 3, Pages 713–722
DOI: https://doi.org/10.1007/BF02065870
Bibliographic databases:
Language: Russian
Citation: D. I. Gurevich, V. N. Rubtsov, “Quantization of Poisson pencils and generalized Lie algebras”, TMF, 103:3 (1995), 476–488; Theoret. and Math. Phys., 103:3 (1995), 713–722
Citation in format AMSBIB
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\by D.~I.~Gurevich, V.~N.~Rubtsov
\paper Quantization of Poisson pencils and generalized Lie algebras
\jour TMF
\yr 1995
\vol 103
\issue 3
\pages 476--488
\mathnet{http://mi.mathnet.ru/tmf1317}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1472313}
\zmath{https://zbmath.org/?q=an:0855.58032}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 103
\issue 3
\pages 713--722
\crossref{https://doi.org/10.1007/BF02065870}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TP54200010}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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