Differential operators and the loop group via chiral algebras
| dc.creator | Arkhipov, S. | |
| dc.creator | Gaitsgory, D. | |
| dc.date | 2000-09-01 | |
| dc.date | 2001-03-06 | |
| dc.date.accessioned | 2026-07-07T04:37:06Z | |
| dc.date.available | 2026-07-07T04:37:06Z | |
| dc.description | Let $G$ be an algebraic group and let $\widetilde{\mathfrak g}$ be the corresponding affine algebra on some level. Consider the induced module $V:=Ind^{\widetilde{\mathfrak g}}_{{\mathfrak g}[[t]](O_{G[[t]]})$, where $O_{G[[t]]}$ is the ring of regular functions on the group $G[[t]]$. In this paper we show that $V$ is naturally a vertex operator algebra, which is "responsible" for D-modules on the loop group $G((t))$. Using the techiques of VOA we show that $V$ is in fact a bimodule over the affine algebra. In addition, we show that $V$ possesses a remarkable property related to its BRST reduction with respect to $\widetilde{\mathfrak g}$. This paper has a considerable intersection with a recent preprint of Gorbunov, Malikov and Schechtman. | |
| dc.description | Revised version, Section 6 added | |
| dc.identifier | https://arxiv.org/abs/math/0009007 | |
| dc.identifier | http://arxiv.org/abs/math/0009007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59836 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Differential operators and the loop group via chiral algebras | |
| dc.type | text |