Tuesday, January 23, 14:00, 7.527

Apolonia Gottwald (Bielefeld / Bonn)
Preinjective Modules and Cofinite Submodule Closed Categories

Abstract:
I will introduce a method to construct all modules that contain a given preinjective module as a submodule. For hereditary Artin algebras over arbitrary fields, there is a natural bijection between the Weyl groups and the sets of full additive cofinite submodule closed subcategories of the module categories. While Oppermann, Reiten and Thomas have shown this for algebraically closed fields and finite fields, with the algorithm above, a proof is possible that holds independently of the field.