Generic orbits, normal bases, and generation degree for fields of rational invariants
Generic orbits, normal bases, and generation degree for fields of rational invariants
For a linear representation of a finite group in coprime characteristic, we bound the degrees of the invariant polynomials needed to generate the field of rational invariants as a field, in terms of the degrees of the polynomials needed to span the field of rational functions as a vector space over the invariant field. This provides a far-reaching generalization of a recent result of Edidin and Katz.
Ben Blum-Smith、Harm Derksen
数学
Ben Blum-Smith,Harm Derksen.Generic orbits, normal bases, and generation degree for fields of rational invariants[EB/OL].(2025-06-05)[2025-07-22].https://arxiv.org/abs/2506.05650.点此复制
评论