3 papers
math.RT2026
Group Permanents of Abelian -Groups and Young Diagrams
Naoya Yamaguchi, Yuka Yamaguchi
We study the number $\Nu(\Per(G_λ))$ of distinct monomials with nonzero coefficients in the group permanent of an abelian -group associated with a partition of a posit…
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.