17 citations · 44 across the 21 of their papers we have counts for
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Factorizations of group determinant in group algebra for any abelian subgroup
Naoya Yamaguchi
We give a further extension and generalization of Dedekind's theorem over those presented by Yamaguchi. In addition, we give two corollaries on irreducible representations of finit…
Capelli elements of the group algebra
Naoya Yamaguchi
Inspired by the Capelli identities for group determinants obtained by Tôru Umeda, we give a basis of the center of the group algebra of any finite group by using Capelli identities…
Generalization of Frobenius' theorem for group determinants
Naoya Yamaguchi
Frobenius built a representation theory of finite groups in the process of obtaining the irreducible factorization of the group determinant. Here, we give a generalization of Frobe…
An extension and a generalization of Dedekind's theorem
Naoya Yamaguchi
For any given finite abelian group, we give factorizations of the group determinant in the group algebra of any subgroup. The factorizations are an extension of Dedekind's theorem.…