Symmetric quiver settings with a regular ring of invariants
The author classifies all the symmetric quivers and corresponding dimension vectors having a smooth space of semisimple representation classes. The result the author obtains is that such quivers can be decomposed as a connected sum of a few number of basic quivers. Section 2 is the study of the ring of invariants. In Section 3 the author reviews briefly the Luna-Slice theorem and indicates in what way the author will use it to obtain the classification. In Section 4 the author determines some necessary conditions for a quiver setting to be coregular. In Section 5 the author determines all coregular quiver settings with two or three vertices. After that the author combines them to bigger quivers in order to construct all symmetric quiver settings that are coregular.
scientific article; zbMATH DE number 1915478