Abstract
We use a quite concrete and simple realization of sl q (2, ℂ) involving finite difference operators. We interpret them as derivations (in the noncommutative sense) on a suitable graded algebra, which gives rise to the ‘noncommutative’ scheme ℙ1 II ℙ1* as the counterpart of the standard ℙ1 = Sl(2, ℂ)/B.
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