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Primitive ideals of the ring of differential operators on an affine toric variety | | Mutsumi Saito
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31 May 2005 | | Subject: | Rings and Algebras MSC-class: 13N10; 13P99 (Primary), 16W35; 16S32 (Secondary) | math.RA | | Abstract: | Let $A$ be a $d imes n$ integer matrix whose column vectors generate the lattice $^d$, 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 $^d$-graded simple $D(R_A)$-modules (up to shift) are the same. We then show that the set of $^d$-homogeneous primitive ideals of $D(R_A)$ is finite. Furthermore, we give conditions for the algebra $D(R_A)$ being simple. | | Source: | arXiv, math.RA/0505667 | | Services: | Forum | Review | PDF | Favorites | |
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