Modules of minimal dimension over completed Weyl algebras | Synapse
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.