English

The Beilinson-Bernstein correspondence for quantized enveloping algebras

Quantum Algebra 2007-05-23 v1 Representation Theory

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

Keywords

Cite

@article{arxiv.math/0309349,
  title  = {The Beilinson-Bernstein correspondence for quantized enveloping algebras},
  author = {Toshiyuki Tanisaki},
  journal= {arXiv preprint arXiv:math/0309349},
  year   = {2007}
}

Comments

71 pages

R2 v1 2026-07-22T16:57:58.438Z