Generalized Cayley's $Ω$-processes
| dc.creator | Santos, Walter Ferrer | |
| dc.creator | Rittatore, Alvaro | |
| dc.date | 2005-08-23 | |
| dc.date.accessioned | 2026-07-07T05:22:36Z | |
| dc.date.available | 2026-07-07T05:22:36Z | |
| dc.description | In this paper we generalize some constructions and results due to Cayley and Hilbert. We define the concept of $Ω$--process for an arbitrary algebraic monoid with zero and unit group $G$. Then we show how to produce from the process and for a linear rational representation of $G$, a number of elements of the ring of $G$-invariants, that is large enough as to guarantee its finite generation. Moreover, we give an explicit construction of all $Ω$-processes for general reductive monoids and, in the case of the monoid of all the $n^2$ matrices, compare our construction with Cayley's definition. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0508436 | |
| dc.identifier | http://arxiv.org/abs/math/0508436 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76125 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 20G05;16W22;14L35 | |
| dc.title | Generalized Cayley's $Ω$-processes | |
| dc.type | text |