Canonical filtrations on Harish-Chandra modules
Ivan Losev
TL;DR
This paper demonstrates that many Harish-Chandra modules, including all irreducible modules, possess a canonical filtration, providing a new structural insight into their organization.
Contribution
It introduces a canonical filtration for a broad class of Harish-Chandra modules, including all irreducible modules, which was not previously established.
Findings
All irreducible Harish-Chandra modules have a canonical filtration.
The canonical filtration offers a new structural perspective on Harish-Chandra modules.
The results unify the understanding of module structures within this class.
Abstract
The goal of this paper is to show that a wide class of Harish-Chandra -modules including all irreducible ones come with a certain canonical filtration.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Advanced Topics in Algebra