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arXiv · 1407.5206

Static subcategories of the module category of a finite-dimensional hereditary algebra

Mustafa A. A. Obaid·S. Khalid Nauman·Wafaa M. Fakieh·Claus Michael Ringel
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Abstract

Let k be a field, let A a finite-dimensional hereditary k-algebra. We consider the category of all finite-dimensional A-modules. We are going to characterize the representation type of A (tame or wild) in terms of the possible subcategories of all M-static modules, where M is an indecomposable A-module.

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Mustafa A. A. Obaid, S. Khalid Nauman, Wafaa M. Fakieh, Claus Michael Ringel. 2014-07-19. Static subcategories of the module category of a finite-dimensional hereditary algebra. https://arxiv.org/abs/1407.5206

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