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

Kruglyak, S. A.; Nazarova, L. A.; Roiter, A. V.

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

Authors

Kruglyak, S. A.

Nazarova, L. A.

Roiter, A. V.

Description

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.