Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-02-03
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, Latex, no figures, to appear in the Proceedings of the XX International Conference on Group Theory Methods in Physic
Scientific paper
The vector fields of the quantum Lie algebra are described for the quantum groups $GL_q(N), SL_q(N)$ and $SO_q(N)$ as pseudodifferential operators on the linear quantum spaces covariant under the corresponding quantum group. Their expressions are simple and compact. It is pointed out that these vector fields satisfy certain characteristic polynomial identities. The real forms $SU_q(N)$ and $SO_q(N,R)$ are discussed in detail.
Chu Chong-Sun
Zumino Bruno
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