Covariants and the no-name lemma

Details Covariants and the no-name lemma Covariants and the no-name lemma

2008-03-09

arxiv.org/abs/0803.1327v2

Mathematics

Representation Theory

The paper has been completely rewritten, more conclusive results are achieved

Scientific paper

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.

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