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The Beilinson-Bernstein correspondence for quantized enveloping algebras

Toshiyuki Tanisaki
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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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BibTeXRIS

Toshiyuki Tanisaki. 2003-09-22. The Beilinson-Bernstein correspondence for quantized enveloping algebras. https://arxiv.org/abs/math/0309349

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