Computing homomorphisms between holonomic D-modules

dc.creatorTsai, Harrison
dc.creatorWalther, Uli
dc.date2000-07-24
dc.date.accessioned2026-07-07T04:36:28Z
dc.date.available2026-07-07T04:36:28Z
dc.descriptionLet K be a subfield of the complex numbers, and let D be the Weyl algebra of K-linear differential operators on K[x_1,...,x_n]. If M and N are holonomic left D-modules we present an algorithm that computes explicit generators for the finite dimensional vector space hom_D(M,N). This enables us to answer algorithmically whether two given holonomic modules are isomorphic. More generally, our algorithm can be used to get explicit generators for ext^i_D(M,N) for any i.
dc.description30 pages, AMS-LaTex, uses verbatim,amsmath,latexsym,amssymb,amsbsy,diagrams
dc.identifierhttps://arxiv.org/abs/math/0007139
dc.identifierhttp://arxiv.org/abs/math/0007139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59608
dc.subjectRings and Algebras
dc.subject16Z05; 16E30; 35N10
dc.titleComputing homomorphisms between holonomic D-modules
dc.typetext

Files

Collections