Computing invariants of algebraic group actions in arbitrary characteristic
| dc.creator | Derksen, Harm | |
| dc.creator | Kemper, Gregor | |
| dc.date | 2007-04-19 | |
| dc.date.accessioned | 2026-07-07T07:57:22Z | |
| dc.date.available | 2026-07-07T07:57:22Z | |
| dc.description | Let G be an affine algebraic group acting on an affine variety X. We present an algorithm for computing generators of the invariant ring K[X]^G in the case where G is reductive. Furthermore, we address the case where G is connected and unipotent, so the invariant ring need not be finitely generated. For this case, we develop an algorithm which computes K[X]^G in terms of a so-called colon-operation. From this, generators of K[X]^G can be obtained in finite time if it is finitely generated. Under the additional hypothesis that K[X] is factorial, we present an algorithm that finds a quasi-affine variety whose coordinate ring is K[X]^G. Along the way, we develop some techniques for dealing with non-finitely generated algebras. In particular, we introduce the finite generation locus ideal. | |
| dc.description | 43 pages | |
| dc.identifier | https://arxiv.org/abs/0704.2594 | |
| dc.identifier | http://arxiv.org/abs/0704.2594 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127625 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13A50, 13P10, 14R20 | |
| dc.title | Computing invariants of algebraic group actions in arbitrary characteristic | |
| dc.type | text |