Halic, M; Stupariu, M S (2005). Rings of invariants for representations of quivers. Comptes Rendus Mathématique. Académie des Sciences. Paris, 340(2):135-140.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | 2005 |
| Deposited On: | 03 Mar 2010 11:02 |
| Last Modified: | 03 Dec 2023 02:41 |
| Publisher: | Elsevier |
| ISSN: | 1631-073X |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1016/j.crma.2004.12.012 |
Halic, M