Differential Algebras on Semigroup Algebras
نویسندگان
چکیده
This paper studies algebras of operators associated to a semigroup algebra. The ring of differential operators is shown to be anti-isomorphic to the symmetry algebra and both are described explicitly in terms of the semigroup. As an application, we produce a criterion to determine the equivalence of A-hypergeometric systems. Conditions under which associated algebras are finitely generated are studied. These results are sufficient to establish Becker’s conjecture in the semigroup case. As well, an algorithm is provided to compute the composition series of D-modules over semigroup algebras.
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