Indecomposables live in all smaller lengths

Details Indecomposables live in all smaller lengths Indecomposables live in all smaller lengths

2009-04-29

arxiv.org/abs/0904.4609v2

Mathematics

Representation Theory

correction of an error in part c) of lemma 9; minor changes (style)

Scientific paper

Let k be an algebraically closed field and A a finite dimensional associative
k-algebra. We prove that there is no gap in the lengths of indecomposable
A-modules of finite length. The analogous result holds for an abelian k-linear
category C if the endomorphism algebras of the simples are k.

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