On simple weight modules of the centrally extended Heisenberg double of quantum SL2.

AbstractThe centrally extended Heisenberg double of quantum SL2 is a smash product of the quantized coordinate ring Oq(M2) of 2×2 matrices and the Hopf algebra Uq(sl2). For this algebra, we give a classification of all simple weight modules with a finite-dimensional weight space, as well as the so-called Uq(sl2)-Harish-Chandra modules. [ABSTRACT FROM AUTHOR]