English

First and Second Fundamental Theorems for Invariant Rings Generated by Circulant Determinants

Representation Theory 2025-04-09 v1 Group Theory Rings and Algebras

Abstract

In this paper, we give the first and second fundamental theorems of invariant theory for certain invariant rings whose generators are expressed by circulant determinants.

Keywords

Cite

@article{arxiv.2504.05688,
  title  = {First and Second Fundamental Theorems for Invariant Rings Generated by Circulant Determinants},
  author = {Naoya Yamaguchi and Hiroyuki Ochiai and Yuka Yamaguchi},
  journal= {arXiv preprint arXiv:2504.05688},
  year   = {2025}
}
R2 v1 2026-06-28T22:50:21.781Z