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arXiv · 1407.2385

The geometry of uniserial representations of finite dimensional algebras III: Finite uniserial type

Birge Huisgen-Zimmermann
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Abstract

A description is given of those sequences ${\Bbb S}= (S(0),S(1),\dots,S(l))$ of simple modules over a finite dimensional algebra for which there are only finitely many uniserial modules with consecutive composition factors $S(0),\dots,S(l)$. Necessary and sufficient conditions for an algebra to permit only a finite number of isomorphism types of uniserial modules are derived. The main tools in this investigation are the affine algebraic varieties parametrizing the uniserial modules with composition series ${\Bbb S}$.

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BibTeXRIS

Birge Huisgen-Zimmermann. 2014-07-09. The geometry of uniserial representations of finite dimensional algebras III: Finite uniserial type. https://arxiv.org/abs/1407.2385

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