Geodesic
Quantization of Poisson pencils and generalized Lie algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 103 (1995) no. 3, pp. 476-488

Voir la notice de l'article provenant de la source Math-Net.Ru

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”. 
@article{TMF_1995_103_3_a9,
     author = {D. I. Gurevich and V. N. Rubtsov},
     title = {Quantization of {Poisson} pencils and generalized {Lie} algebras},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {476--488},
     publisher = {mathdoc},
     volume = {103},
     number = {3},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_103_3_a9/}
}
TY  - JOUR
AU  - D. I. Gurevich
AU  - V. N. Rubtsov
TI  - Quantization of Poisson pencils and generalized Lie algebras
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1995
SP  - 476
EP  - 488
VL  - 103
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1995_103_3_a9/
LA  - ru
ID  - TMF_1995_103_3_a9
ER  - 
%0 Journal Article
%A D. I. Gurevich
%A V. N. Rubtsov
%T Quantization of Poisson pencils and generalized Lie algebras
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1995
%P 476-488
%V 103
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1995_103_3_a9/
%G ru
%F TMF_1995_103_3_a9
D. I. Gurevich; V. N. Rubtsov. Quantization of Poisson pencils and generalized Lie algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 103 (1995) no. 3, pp. 476-488. http://geodesic.mathdoc.fr/item/TMF_1995_103_3_a9/