Commutators and Itô's theorem on character degrees (Q1924978)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Commutators and Itô's theorem on character degrees |
scientific article; zbMATH DE number 938603
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Commutators and Itô's theorem on character degrees |
scientific article; zbMATH DE number 938603 |
Statements
Commutators and Itô's theorem on character degrees (English)
0 references
10 November 1996
0 references
The aim of this paper is to provide, what is called, easy accessible proofs of Theorems of \textit{N. Itô} [Nagoya Math. J. 3, 5-6 (1951; Zbl 0043.26002)], of \textit{C. W. Curtis} and \textit{T. V. Fossum} [Math. Z. 107, 402-406 (1968; Zbl 0185.06801)]\ and of \textit{G. Keller} [ibid. 107, 221-224 (1968; Zbl 0186.32801)]. Methods used here are: orthogonality relations, the center of \(\mathbb{C}[{\mathcal G}]\), some linear algebra, reciprocity law of Frobenius, Hecke-algebra-structure-constants; almost no algebraic number theory is used.
0 references
commutators
0 references
character degrees
0 references
group algebras
0 references
orthogonality relations
0 references
reciprocity laws
0 references
Hecke algebras
0 references
