most citedPrincipal Specialization of Monomial Symmetric Polynomials and Group Determinants of Cyclic Groups

1 citations · 1 across the 2 of their papers we have counts for

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4 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 po…

math.RT2026★ 1 cited

Principal Specialization of Monomial Symmetric Polynomials and Group Determinants of Cyclic Groups

Naoya Yamaguchi, Yuka Yamaguchi, Genki Shibukawa

In this paper, we study the principal specialization of monomial symmetric polynomials and investigate the special values of these polynomials at \[ ζ_{(n,k)} := ( 1, ζ_n, ζ_n^2…

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.