caa a22 4500 469099828 CHVBK 20180323133041.0 cr unu---uuuuu 170328e19920501xx s 000 0 eng 10.1007/BF00402375 doi (NATIONALLICENCE)springer-10.1007/BF00402375 Zhi-Cheng Lu Physique-Mathématique, Université de Bourgogne, BP 138, 21004, Dijon Cedex, France aut Star-products and phase space realizations of quantum groups [Elektronische Daten] [Lu Zhi-Cheng] It is shown for a family of *-products (i.e. different ordering rules) that, under a strong invariance condition, the functions of the quadratic preferred observables (which generate the Cartan subalgebra in phase space realization of Lie algebras) take only the linear or exponential form. An exception occurs for the case of a symmetric ordering *-product where trigonometric functions and two special polynomials can also be included. As an example, the ‘quantized algebra' of the oscillator Lie algebra is argued. Kluwer Academic Publishers, 1992 Letters in Mathematical Physics Kluwer Academic Publishers 25/1(1992-05-01), 51-59 0377-9017 25:1<51 1992 25 11005 https://doi.org/10.1007/BF00402375 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00402375 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zhi-Cheng Lu Physique-Mathématique, Université de Bourgogne, BP 138, 21004, Dijon Cedex, France aut NATIONALLICENCE 773 0- Letters in Mathematical Physics Kluwer Academic Publishers 25/1(1992-05-01), 51-59 0377-9017 25:1<51 1992 25 11005 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer