Gelfand triples and their hecke algebras [Documento eletrónico] : harmonic analysis for multiplicity-free induced representations of finite groups / Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Language: eng.Country: Switzerland, Swiss Confederation, Cham.Publication: Cham : Springer International Publishing, 2020Description: XVIII, 140 p.ISBN: 978-3-030-51607-9.Series: Lecture Notes in Mathematics, vol. 2267Subject - Topical Name: Harmonic analysis | Group theory | Fourier analysis | Associative rings | Associative algebras | Special functions Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA403.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 96511 |
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.
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