Geodesic
Covariants and the No-Name Lemma
Mátyás Domokos1
1Rényi Institute of Mathematics, Hungarian Academy of Sciences, P. O. Box 127, 1364 Budapest, Hungary
Journal of Lie Theory, Tome 18 (2008) no. 4, pp. 839-849

Voir la notice de l'article provenant de la source Heldermann Verlag

A close connection between the no-name lemma (concerning algebraic groups acting on vector bundles) and the existence of sufficiently many independent rational covariants is pointed out. In particular, this leads to a new natural proof of the no-name lemma. For linearly reductive groups, the approach has a refined variant based on integral covariants. This yields a version of the no-name lemma that has a constructive nature.
Classification : 13A50, 14L30, 14E08
Mots-clés : Rationality of fields of invariants, covariants, linearly reductive groups, Speiser's lemma

Mátyás Domokos  1

1 Rényi Institute of Mathematics, Hungarian Academy of Sciences, P. O. Box 127, 1364 Budapest, Hungary 
Mátyás Domokos. Covariants and the No-Name Lemma. Journal of Lie Theory, Tome 18 (2008) no. 4, pp. 839-849. http://geodesic.mathdoc.fr/item/JOLT_2008_18_4_a5/
@article{JOLT_2008_18_4_a5,
     author = {M\'aty\'as Domokos},
     title = {Covariants and the {No-Name} {Lemma}},
     journal = {Journal of Lie Theory},
     pages = {839--849},
     year = {2008},
     volume = {18},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2008_18_4_a5/}
}
TY  - JOUR
AU  - Mátyás Domokos
TI  - Covariants and the No-Name Lemma
JO  - Journal of Lie Theory
PY  - 2008
SP  - 839
EP  - 849
VL  - 18
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/JOLT_2008_18_4_a5/
ID  - JOLT_2008_18_4_a5
ER  - 
%0 Journal Article
%A Mátyás Domokos
%T Covariants and the No-Name Lemma
%J Journal of Lie Theory
%D 2008
%P 839-849
%V 18
%N 4
%U http://geodesic.mathdoc.fr/item/JOLT_2008_18_4_a5/
%F JOLT_2008_18_4_a5