On certain representations of automorphism groups of an algebraically closed field
| dc.creator | Rovinsky, M. | |
| dc.date | 2001-01-20 | |
| dc.date | 2004-05-03 | |
| dc.date.accessioned | 2026-07-07T13:00:55Z | |
| dc.date.available | 2026-07-07T13:00:55Z | |
| dc.description | Let k be an algebraically closed field of characteristic zero, F its algebraically closed extension, and G be the group of k-automorphisms of F endowed with a natural topology. One of the purposes of this paper is to show that any non-faithful continuous representation of G factors through a discrete quotient of G. Properties of representation of G arising from geometry are studied. In some cases the groups of morphisms between geometric objects are identified with the groups of morphisms between corresponding G-modules, and the ${\rm Ext}^1$'s are related. In particular, the category of abelian varieties over k with morphisms tensored with the rationals can be described as a category of G-modules. | |
| dc.identifier | https://arxiv.org/abs/math/0101170 | |
| dc.identifier | http://arxiv.org/abs/math/0101170 | |
| dc.identifier | Math. Zeitschrift 249 (2005), no.1, 163--221 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225991 | |
| dc.subject | Representation Theory | |
| dc.title | On certain representations of automorphism groups of an algebraically closed field | |
| dc.type | text |