On the indecomposability in the category of representations of a quiver and in its subcategory of orthoscalar representations

Details On the indecomposability in the category of representations of a quiver and in its subcategory of orthoscalar representations On the indecomposability in the category of representations of a quiver and in its subcategory of orthoscalar representations

2006-11-13

arxiv.org/abs/math/0611385v1

Mathematics

Representation Theory

Scientific paper

One can regard the category of represenations of quivers in Hilbert spaces as
a subcategory in the category of all representations, and at that objects,
which are indecomposable in the subcategory, become in general decomposable in
the ``larger'' category. We prove that it does not happen with indecomposable
locally scalar representations of a quiver.

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