QUANTIZATION OF POISSON PENCILS AND GENERALIZED LIE-ALGEBRAS

Authors
GUREVICH D RUBTSOV V
Citation
D. Gurevich et V. Rubtsov, QUANTIZATION OF POISSON PENCILS AND GENERALIZED LIE-ALGEBRAS, Theoretical and mathematical physics, 103(3), 1995, pp. 713-722
Citations number
21
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
103
Issue
3
Year of publication
1995
Pages
713 - 722
Database
ISI
SICI code
0040-5779(1995)103:3<713:QOPPAG>2.0.ZU;2-8
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.''