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Cohomology of induced modules in rings of differential operators

Published online by Cambridge University Press:  20 January 2009

Kenneth A. Brown  and
Thierry Levasseur
Kenneth A. Brown
Affiliation:
Department of MathematicsUniversity of GlasgowGlasgow G11 5HF, Scotland
Thierry Levasseur
Affiliation:
Departement de MathématiquesUniversité de Paris VITour 45-46-5e4 place JussieuParis, France
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Let K be a field of characteristic zero and let Δ ={δ1,…,δn} be a set of commuting K-derivations of the commutative Noetherian K-algebra R. Let S = R[X1,…,Xn] be the corresponding ring of differential operators, so [Xi, r] = Xir − rXi=δi(r and [Xi, Xj]=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

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 31 , Issue 1 , February 1988 , pp. 41 - 47
Copyright
Copyright © Edinburgh Mathematical Society 1988

References

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