What question did this study set out to answer?

June 29, 2026Open Access

Modules of minimal dimension over completed Weyl algebras

Key Points

This research aims to examine the structure of modules of minimal dimension over completed Weyl algebras in the setting of equal characteristic zero.
Analysis of the category of modules over completed Weyl algebras.
Proving the finiteness condition for de Rham cohomology.
Demonstrated that modules exhibit minimal dimension under the specified conditions.
Proved finiteness of de Rham cohomology for these modules.

Abstract

We study the category of modules of minimal dimension over completed Weyl algebras in equal characteristic zero. In particular, we prove finiteness of de Rham cohomology of such modules.

Bookmark

View Full Paper