Weyl algebra modules
Viktor Bekkert, Georgia Benkart, Vyacheslav Futorny
TL;DR
This paper classifies all simple weight modules for finite and infinite Weyl algebras and analyzes the structure of their module categories, including indecomposables in tame blocks.
Contribution
It provides a complete classification of simple weight modules and describes the indecomposable modules in tame blocks of Weyl algebra categories.
Findings
All simple weight modules are classified.
The representation type of blocks is characterized.
Indecomposable modules in tame blocks are described.
Abstract
We investigate weight modules for finite and infinite Weyl algebras, classifying all such simple modules. We also study the representation type of the blocks of locally-finite weight module categories and describe indecomposable modules in tame blocks.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons