Arithmetic Invariant Theory of Reductive Groups
Representation Theory
2024-10-18 v3 Commutative Algebra
Abstract
In this manuscript, we define the notion of linearly reductive groups over commutative unital rings and study the Cohen-Macaulay property of the ring of invariants under rational actions of a linearly reductive group. Moreover, we study the equivalence of different notions of reductivity over regular rings of Krull dimension two by studying these properties locally.
Cite
@article{arxiv.2212.12863,
title = {Arithmetic Invariant Theory of Reductive Groups},
author = {Yidi Wang},
journal= {arXiv preprint arXiv:2212.12863},
year = {2024}
}
Comments
16 pages; Section 3 was substantially rewritten