paper

The Beilinson-Bernstein correspondence for quantized enveloping algebras

arXiv:math/0309349

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 -differential operators introduced in their earlier paper. In this paper we shall establish its modified version using a class of -differential operators, which is (possibly) smaller than the one used by Lunts-Rosenberg.

71 pages

The Beilinson-Bernstein correspondence for quantized enveloping algebras · wovepaper