%0 Journal Article %J Lett. Math. Phys. 29 (1993) 215-217 %D 1993 %T A Borel-Weil-Bott approach to representations of \rm sl\sb q(2,C) %A Davide Franco %A Cesare Reina %X

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.

%B Lett. Math. Phys. 29 (1993) 215-217 %I Springer %G en_US %U http://hdl.handle.net/1963/3538 %1 1163 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2009-02-23T17:04:56Z\\nNo. of bitstreams: 1\\n9305063v1.pdf: 50860 bytes, checksum: 3101cb0bd637adaf2b64c1a8f935b321 (MD5) %R 10.1007/BF00761109