Gelfand triples and their hecke algebras, harmonic analysis for multiplicity-free induced representations of finite groups
Ceccherini-Silberstein, Tullio
Gelfand triples and their hecke algebras : harmonic analysis for multiplicity-free induced representations of finite groups [Documento eletrónico] / Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli. - Cham : Springer International Publishing , 2020 . - XVIII, 140 p.. - (Lecture Notes in Mathematics) ; vol. 2267 This monograph is the first comprehensive treatment of multiplicity-free induced representations of finite groups as a generalization of finite Gelfand pairs. Up to now, researchers have been somehow reluctant to face such a problem in a general situation, and only partial results were obtained in the one-dimensional case. Here, for the first time, new interesting and important results are proved. In particular, after developing a general theory (including the study of the associated Hecke algebras and the harmonic analysis of the corresponding spherical functions), two completely new highly nontrivial and significant examples (in the setting of linear groups over finite fields) are examined in full detail. The readership ranges from graduate students to experienced researchers in Representation Theory and Harmonic Analysis.
Clicar aqui para aceder a um recurso externo
ISBN 978-3-030-51607-9
Harmonic analysis
Group theory
Fourier analysis
Associative rings
Associative algebras
Special functions
LCC QA403-403.3
Gelfand triples and their hecke algebras : harmonic analysis for multiplicity-free induced representations of finite groups [Documento eletrónico] / Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli. - Cham : Springer International Publishing , 2020 . - XVIII, 140 p.. - (Lecture Notes in Mathematics) ; vol. 2267 This monograph is the first comprehensive treatment of multiplicity-free induced representations of finite groups as a generalization of finite Gelfand pairs. Up to now, researchers have been somehow reluctant to face such a problem in a general situation, and only partial results were obtained in the one-dimensional case. Here, for the first time, new interesting and important results are proved. In particular, after developing a general theory (including the study of the associated Hecke algebras and the harmonic analysis of the corresponding spherical functions), two completely new highly nontrivial and significant examples (in the setting of linear groups over finite fields) are examined in full detail. The readership ranges from graduate students to experienced researchers in Representation Theory and Harmonic Analysis.
Clicar aqui para aceder a um recurso externo
ISBN 978-3-030-51607-9
Harmonic analysis
Group theory
Fourier analysis
Associative rings
Associative algebras
Special functions
LCC QA403-403.3
