On Chevalley-Shephard-Todd's theorem in positive characteristic
| dc.creator | Broer, Abraham | |
| dc.date | 2007-09-05 | |
| dc.date.accessioned | 2026-07-07T08:27:47Z | |
| dc.date.available | 2026-07-07T08:27:47Z | |
| dc.description | Let $G$ be a finite group acting linearly on the vector space $V$ over a field of arbitrary characteristic. The action is called coregular if the invariant ring is generated by algebraically independent homogeneous invariants and the direct summand property holds if there is a surjective $k[V]^G$-linear map $π:k[V]\to k[V]^G$. The following Chevalley-Shephard-Todd type theorem is proved. Suppose $V$ is an irreducible $kG$-representation, then the action is coregular if and only if $G$ is generated by pseudo-reflections and the direct summand property holds. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/0709.0715 | |
| dc.identifier | http://arxiv.org/abs/0709.0715 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137389 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A50 | |
| dc.title | On Chevalley-Shephard-Todd's theorem in positive characteristic | |
| dc.type | text |