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D-modules with finite support are semi-simple
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences.
2014 (English)In: Arkiv för matematik, ISSN 0004-2080, E-ISSN 1871-2487, Vol. 52, no 2, 291-299 p.Article in journal (Refereed) Published
Abstract [en]

Let (R,m,k) be a regular local k-algebra satisfying the weak Jacobian criterion, and such that kR/k is an algebraic field extension. Let D be the ring of k-linear differential operators of R. We give an explicit decomposition of the DR-module D/Dm^(n+1) as a direct sum of simple modules, all isomorphic to D/Dm, where certain “Pochhammer” differential operators are used to describe generators of the simple components. 

Place, publisher, year, edition, pages
2014. Vol. 52, no 2, 291-299 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-15473DOI: 10.1007/s11512-013-0186-zISI: 000341733100004Scopus ID: 2-s2.0-84908123896OAI: oai:DiVA.org:hig-15473DiVA: diva2:653345
Available from: 2013-10-03 Created: 2013-10-03 Last updated: 2014-11-12Bibliographically approved

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Källström, Rolf
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