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Unzerlegbare Darstellungen I

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Abstract

LetK be the structure got by forgetting the composition law of morphisms in a given category. A linear representation ofK is given by a map V associating with any morphism ϕ: a→e ofK a linear vector space map V(ϕ): V(a)→V(e). We classify thoseK having only finitely many isomorphy classes of indecomposable linear representations. This classification is related to an old paper by Yoshii [3].

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Literatur

  1. CHAPTAL N.: Objets indécomposables dans certaines catégories de foncteurs, C.R. Acad. Sc. Paris, 268, 934–936 (1969).

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  2. JANS J.P.: On the indecomposable Representations of Algebras, Ann. of Math., 66, p. 418–429 (1957).

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  3. YOSHII T.: On Algebras of Bounded Representation Type, Osaka Math. J., 8, 51–105 (1956).

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Herrn Professor E. Witt zum 60. Geburtstag

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Gabriel, P. Unzerlegbare Darstellungen I. Manuscripta Math 6, 71–103 (1972). https://doi.org/10.1007/BF01298413

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  • DOI: https://doi.org/10.1007/BF01298413

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