modules with finite support are semisimple
Abstract
Let be a regular local kalgebra satisfying the weak Jacobian criterion, and such that k _{ R }/ k is an algebraic field extension. Let be the ring of klinear differential operators of R. We give an explicit decomposition of the module as a direct sum of simple modules, all isomorphic to , where certain "Pochhammer" differential operators are used to describe generators of the simple components.
 Publication:

Arkiv for Matematik
 Pub Date:
 October 2014
 DOI:
 10.1007/s115120130186z
 arXiv:
 arXiv:1204.4168
 Bibcode:
 2014ArM....52..291K
 Keywords:

 Mathematics  Commutative Algebra;
 Mathematics  Algebraic Geometry;
 13N10
 EPrint:
 7 pages