O'Reilly logo

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups by Filippo Tolli, Fabio Scarabotti, Tullio Ceccherini-Silberstein

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

3

Harmonic analysis on some homogeneous spaces of finite wreath products

The present chapter is an exposition of the results in the papers [9, 63, 64]. We have rearranged material in the original sources, adding more details and making everything consistent with the background developed in the preceding chapters. In the first section we examine the composition of two permutation representations (possibly with multiplicities, that is, not necessarily yielding Gelfand pairs) and present the corresponding decomposition into irreducible subrepresentations. We also give an explicit expression for the associated spherical matrix coefficients. In Section 3.2 we study the generalized Johnson scheme and describe a general construction of finite Gelfand ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required