The Beilinson-Bernstein correspondence for quantized enveloping algebras
Abstract.Theory of the quantized flag manifold as a quasi-scheme (non-commutative scheme) has been developed by Lunts-Rosenberg [15]. They have formulated an analogue of the Beilinson-Bernstein correspondence using the q-differential operators introduced in their earlier paper [14]. In this paper we shall establish its modified version using a class of q-differential operators, which is (possibly) smaller than the one in [14].