Harmonic analysis on a finite homogeneous space. (English) Zbl 1189.43008
Let \(G\) be a finite group acting transitively on a finite set \(X\) and let \(K\) be the stabilizer of a point \(x_o\in X\). Then \(X=G/ K\) is a finite homogeneous space. The authors study harmonic analysis on \(X\) whose associated permutation representation decomposes with multiplicity.
Reviewer: Roman Urban (Wrocław)
MSC:
43A90 | Harmonic analysis and spherical functions |
20C15 | Ordinary representations and characters |
20C30 | Representations of finite symmetric groups |
20E22 | Extensions, wreath products, and other compositions of groups |