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A new type of diagrams for modules

By Stephanos Gekas

Abstract

We introduce a new type of diagrams and prove the existence of a particular one, the "central tuned diagram", with some optimal features, for finitely generated modules of certain categories. This is achieved by getting to the idea of "the virtual category" of a module. Important applications are specifically suggested to the modular representations of finite groups of Lie type.Comment: 21 page

Topics: Mathematics - Representation Theory
Year: 2016
DOI identifier: 10.13140/RG.2.1.1168.2964
OAI identifier: oai:arXiv.org:1603.06506

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