Covariants and the no-name lemma
Representation Theory
2008-06-25 v2 Algebraic Geometry
Abstract
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 fits into the usual context of invariant theory, and yields a version of the no-name lemma that has a constructive nature.
Keywords
Cite
@article{arxiv.0803.1327,
title = {Covariants and the no-name lemma},
author = {M. Domokos},
journal= {arXiv preprint arXiv:0803.1327},
year = {2008}
}
Comments
The paper has been completely rewritten, more conclusive results are achieved