An axiomatic characterization of the Gabriel-Roiter measure

Details An axiomatic characterization of the Gabriel-Roiter measure An axiomatic characterization of the Gabriel-Roiter measure

2006-04-09

arxiv.org/abs/math/0604202v2

Mathematics

Representation Theory

9 pages, final version, to appear in Bull. London Math. Soc

Scientific paper

Given an abelian length category A, the Gabriel-Roiter measure with respect
to a length function l is characterized as a universal morphism ind(A)-->P of
partially ordered sets. The map is defined on the isomorphism classes of
indecomposable objects of A and is a suitable refinement of the length function
l.

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