10 citations · 23 across the 12 of their papers we have counts for
12 papers
Homogeneous spaces of semidirect products and finite Gelfand pairs
Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Let be two finite groups and let be two finite abelian groups, with acting on as a group of isomorphisms admitting as a -invariant subgroup. We s…
Representation theory of the group of automorphisms of a finite rooted tree
Fabio Scarabotti
We construct the ordinary irreducible representations of the group of automorphisms of a finite rooted tree and we get a natural parametrization of them. To achieve this goals, we…
Harmonic analysis and spherical functions for multiplicity-free induced representations of finite groups
Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
In this work, we study multiplicity-free induced representations of finite groups. We analyze in great detail the structure of the Hecke algebra corresponding to the commutant of a…
Mackey's criterion for subgroup restriction of Kronecker products and harmonic analysis on Clifford groups
Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
We present a criterion for multiplicity-freeness of the decomposition of the restriction Res of the Kronecker product of two generic irreducible representati…
Mackey's theory of -conjugate representations for finite groups. APPENDIX: On Some Gelfand Pairs and Commutative Association Schemes
Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli +2
The aim of the present paper is to expose two contributions of Mackey, together with a more recent result of Kawanaka and Matsuyama, generalized by Bump and Ginzburg, on the repres…
Induced representations and harmonic analysis on finite groups
Fabio Scarabotti, Filippo Tolli
Given a finite group and a subgroup , we study the commutant of , where is an irreducible -representation. After a careful analysis of Frobenius reci…