@article {1993, title = {A Borel-Weil-Bott approach to representations of {\rm sl}\sb q(2,C)}, journal = {Lett. Math. Phys. 29 (1993) 215-217}, number = {SISSA;58/93/FM}, year = {1993}, publisher = {Springer}, abstract = {

We use a quite concrete and simple realization of $\slq$ involving finite difference operators. We interpret them as derivations (in the non-commutative sense) on a suitable graded algebra, which gives rise to the double of the projective line as the non commutative version of the standard homogeneous space.

}, doi = {10.1007/BF00761109}, url = {http://hdl.handle.net/1963/3538}, author = {Davide Franco and Cesare Reina} }