Realization of Vector fields for Quantum Groups as Pseudodifferential Operators on Quantum Spaces

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dc.creatorChu, Chong-Sun
dc.creatorZumino, Bruno
dc.date1995-02-03
dc.date.accessioned2026-07-07T09:16:28Z
dc.date.available2026-07-07T09:16:28Z
dc.descriptionThe 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.
dc.description16 pages, Latex, no figures, to appear in the Proceedings of the XX International Conference on Group Theory Methods in Physics, Toyonaka, Japan (1994)
dc.identifierhttps://arxiv.org/abs/q-alg/9502005
dc.identifierhttp://arxiv.org/abs/q-alg/9502005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153365
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.titleRealization of Vector fields for Quantum Groups as Pseudodifferential Operators on Quantum Spaces
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