English

A geometric proof of Duflo's Theorem

Rings and Algebras 2021-04-01 v1 Algebraic Geometry

Abstract

Let RR be a commutative ring: we explain the Beilinson-Bernstein localisation mechanism for sheaves of homogeneous twisted differential operators defined over a smooth, separated, locally of finite type RR-scheme. As an application, we give a new proof of Duflo's theorem characterising the primitive ideals of the enveloping algebra of a complex semisimple Lie algebra.

Keywords

Cite

@article{arxiv.2103.16890,
  title  = {A geometric proof of Duflo's Theorem},
  author = {Ioan Stanciu},
  journal= {arXiv preprint arXiv:2103.16890},
  year   = {2021}
}
R2 v1 2026-06-24T00:43:30.505Z