Perverse Sheaves on Real Loop Grassmannians
| dc.creator | Nadler, David | |
| dc.date | 2002-02-18 | |
| dc.date | 2004-10-20 | |
| dc.date.accessioned | 2026-07-07T04:46:29Z | |
| dc.date.available | 2026-07-07T04:46:29Z | |
| dc.description | The aim of this paper is to identify a certain tensor category of perverse sheaves on the real loop Grassmannian of a real form $G_{\mathbb R}$ of a connected reductive complex algebraic group $G$ with the category of finite-dimensional representations of a connected reductive complex algebraic subgroup $\check H$ of the dual group $\check G$. The root system of $\check H$ is closely related to the restricted root system of the real form $G_{\mathbb R}$. The fact that $\check H$ is reductive implies that an interesting family of real algebraic maps satisfies the conclusion of the Decomposition Theorem of Beilinson-Bernstein-Deligne. | |
| dc.description | 63 pages; final version, to appear in Invent math | |
| dc.identifier | https://arxiv.org/abs/math/0202150 | |
| dc.identifier | http://arxiv.org/abs/math/0202150 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63350 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.title | Perverse Sheaves on Real Loop Grassmannians | |
| dc.type | text |