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arxiv: q-alg/9603008 · v1 · submitted 1996-03-12 · q-alg · math.QA

Kappa-contraction from SU_q(2) to E_(kappa)(2)

classification q-alg math.QA
keywords kappacontractionprescriptionalgebraarrivechosendifferentexplicite
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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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