QUANTIZATION OF DIFFERENTIAL CALCULI ON UNIVERSAL ENVELOPING-ALGEBRAS

Authors
VANDENHIJLIGENBERG N MARTINI R POST GF
Citation
N. Vandenhijligenberg et al., QUANTIZATION OF DIFFERENTIAL CALCULI ON UNIVERSAL ENVELOPING-ALGEBRAS, Journal of mathematical physics, 37(8), 1996, pp. 4166-4175
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
37
Issue
8
Year of publication
1996
Pages
4166 - 4175
Database
ISI
SICI code
0022-2488(1996)37:8<4166:QODCOU>2.0.ZU;2-P
Abstract
A method to construct differential calculi on quantized universal enve loping algebras is discussed. These differential calculi are obtained by quantizing calculi on ''classical'' enveloping algebras provided wi th appropriate co-Poisson structures. The procedure is demonstrated by applying it to the standard quantizations of the Heisenberg algebra a nd the algebra gl(2). (C) 1996 American Institute of Physics.