Primitive ideals of the ring of differential operators on an affine toric variety
| dc.creator | Saito, Mutsumi | |
| dc.date | 2005-05-31 | |
| dc.date.accessioned | 2026-07-07T05:20:23Z | |
| dc.date.available | 2026-07-07T05:20:23Z | |
| dc.description | Let $A$ be a $d\times n$ integer matrix whose column vectors generate the lattice $\Z^d$, and let $D(R_A)$ be the ring of differential operators on the affine toric variety defined by $A$. We show that the classification of $A$-hypergeometric systems and that of $\Z^d$-graded simple $D(R_A)$-modules (up to shift) are the same. We then show that the set of $\Z^d$-homogeneous primitive ideals of $D(R_A)$ is finite. Furthermore, we give conditions for the algebra $D(R_A)$ being simple. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/0505667 | |
| dc.identifier | http://arxiv.org/abs/math/0505667 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75363 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 13N10; 13P99 (Primary), 16W35; 16S32 (Secondary) | |
| dc.title | Primitive ideals of the ring of differential operators on an affine toric variety | |
| dc.type | text |