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Preprint Number 253

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253. Sonia l'Innocente, Françoise Point
Exponentiations over the quantum algebra U_q(sl_2(C))
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Submission date: 31 May 2010.

Abstract:

We define and compare, by model-theoretical methods, some exponentiations over the quantum algebra U_q(sl_2(\C)), for any parameter q. We discuss two cases, according to whether the parameter q is a root of unity.

Mathematics Subject Classification: 03C60, 16W35, 20G42, 81R50.

Keywords and phrases: quantum algebra, quantum plane, exponential map.

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