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math.RT2025
Group Determinants and Invariant Rings
Yuka Yamaguchi, Naoya Yamaguchi
In the study of group determinants, Frobenius introduced certain partial differential operators. This paper presents several results concerning the invariant rings derived from the…
math.RT2025
First and Second Fundamental Theorems for Invariant Rings Generated by Circulant Determinants
Naoya Yamaguchi, Hiroyuki Ochiai, Yuka Yamaguchi
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.