Kappa-contraction from $SU_q(2)$ to $E_κ(2)$

Details Kappa-contraction from $SU_q(2)$ to $E_κ(2)$ Kappa-contraction from $SU_q(2)$ to $E_κ(2)$

1996-03-12

arxiv.org/abs/q-alg/9603008v1

Mathematics

Quantum Algebra

3 pages, plain TEX, harvmac, to be published in the Proceedings of the 4-th Colloqium Quantum Groups and Integrable Systems, P

Scientific paper

10.1007/BF01688820

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 $E_{\kappa}(2)$.

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