Vector fields on complex quantum groups |
| |
| Authors: | Chryss Chryssomalakos Bernhard Drabant Michael Schlieker Wolfgang Weich Bruno Zumino |
| |
| Institution: | (1) Department of Physics, University of California, 94720 Berkeley, California, USA;(2) Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, Föhringer Ring 6, W-8000 München 40, FRG;(3) Sektion Physik der Universität München, Lehrstuhl Professor Wess, Theresienstraße 37, W-8000 München 2, FRG;(4) Lawrence Berkeley Laboratory, Theoretical Physics Group, 1 Cyclotron Road, 94720 Berkeley, California, USA |
| |
| Abstract: | Using previous results we construct theq-analogues of the left invariant vector fields of the quantum enveloping algebra corresponding to the complex Lie algebras of typeA
n–1
,B
n
,C
n
, andD
n
. These quantum vector fields are functionals over the complex quantum groupA. In the special caseA
1 it is shown that this Hopf algebra coincides withU
q
sl(2,  ). |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
