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

Chong-Sun Chu; Bruno Zumino

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

q-alg 2008-02-03 v1 高能物理 - 理论量子代数

作者: Chong-Sun Chu , Bruno Zumino

摘要

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.

关键词

quantum groups quantum group representations pseudodifferential operators

引用

@article{arxiv.q-alg/9502005,
  title  = {Realization of Vector fields for Quantum Groups as Pseudodifferential Operators on Quantum Spaces},
  author = {Chong-Sun Chu and Bruno Zumino},
  journal= {arXiv preprint arXiv:q-alg/9502005},
  year   = {2008}
}

备注

16 pages, Latex, no figures, to appear in the Proceedings of the XX International Conference on Group Theory Methods in Physics, Toyonaka, Japan (1994)

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

摘要

关键词

引用

备注

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