Journal Articles Proceedings of the Edinburgh Mathematical Society Year : 2009

Cohomology of induced modules in rings of differential operators

Abstract

Let K be a field of characteristic zero and let Δ ={δ 1 ,…,δ n } be a set of commuting K -derivations of the commutative Noetherian K -algebra R . Let S = R [ X 1 ,…, X n ] be the corresponding ring of differential operators, so [ X i , r ] = X i r − r X i =δ i ( r and [ X i , X j ]=0, for 1≦ i , j ≦ n . Let M be a maximal ideal of R with R / M of finite dimension over K . The purpose of this note is to describe the groups

Dates and versions

hal-04725142 , version 1 (08-10-2024)

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Kenneth A. Brown, Thierry Levasseur. Cohomology of induced modules in rings of differential operators. Proceedings of the Edinburgh Mathematical Society, 2009, 31 (1), pp.41-47. ⟨10.1017/S0013091500006556⟩. ⟨hal-04725142⟩
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