Kappa-contraction from $SU_q(2)$ to $E_{\kappa}(2)$

Jan Sobczyk

doi:10.1007/BF01688820

Kappa-contraction from $SU_q(2)$ to $E_{\kappa}(2)$

q-alg 2009-10-30 v1 量子代数

作者: Jan Sobczyk

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摘要

We present contraction prescription of the quantum groups: from $SU_q(2)$ to $E_{\kappa}(2)$ . Our strategy is different then one chosen in ref. [P. Zaugg, J. Phys. A {\bf 28} (1995) 2589]. We provide explicite prescription for contraction of $a, b, c$ and $d$ generators of $SL_q(2)$ and arrive at $^*$ Hopf algebra $E_{\kappa}(2)$ .

引用

@article{arxiv.q-alg/9603008,
  title  = {Kappa-contraction from $SU_q(2)$ to $E_{\kappa}(2)$},
  author = {Jan Sobczyk},
  journal= {arXiv preprint arXiv:q-alg/9603008},
  year   = {2009}
}

备注

3 pages, plain TEX, harvmac, to be published in the Proceedings of the 4-th Colloqium Quantum Groups and Integrable Systems, Prague, June 1995, Czech. J. Phys. {\bf 46} 265 (1996)

Kappa-contraction from $SU_q(2)$ to $E_{\kappa}(2)$

摘要

引用

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