|国家预印本平台
首页|Generic orbits, normal bases, and generation degree for fields of rational invariants

Generic orbits, normal bases, and generation degree for fields of rational invariants

Generic orbits, normal bases, and generation degree for fields of rational invariants

来源:Arxiv_logoArxiv
英文摘要

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