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About a remarkable differential operator in the algebra of holonomy modules. (Italian. English summary) Zbl 0916.47036

Summary: We characterize the elements \(Q\in A_1(\mathbb{C})\) such that the ideal \(A_1(\mathbb{C})Q\) is maximal in \(A_1(\mathbb{C})\).
We give also sufficient conditions on the operator \(P= D_1+ pD_2+ q\in A_2(\mathbb{C})\) to have the maximality of \(A_2(\mathbb{C})P\) in \(A_2\).

MSC:

47E05 General theory of ordinary differential operators
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