# Rings of invariants for representations of quivers

Halic, M; Stupariu, M S (2005). Rings of invariants for representations of quivers. Comptes Rendus Mathématique. Académie des Sciences. Paris, 340(2):135-140.

## Abstract

In this Note we compute the generators of the ring of invariants for quiver factorization problems, generalizing results of Le Bruyn and Procesi. In particular, we find a necessary and sufficient combinatorial criterion for the projectivity of the associated invariant quotients. Further, we show that the non-projective quotients admit open immersions into projective varieties, which still arise from suitable quiver factorization problems.

In this Note we compute the generators of the ring of invariants for quiver factorization problems, generalizing results of Le Bruyn and Procesi. In particular, we find a necessary and sufficient combinatorial criterion for the projectivity of the associated invariant quotients. Further, we show that the non-projective quotients admit open immersions into projective varieties, which still arise from suitable quiver factorization problems.

## Citations

3 citations in Web of Science®
3 citations in Scopus®