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