Title
Gelfand Triples and Their Hecke Algebras [electronic resource] : Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups / by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli.
Publication
Cham : Springer International Publishing : Imprint: Springer, 2020.
Physical Description
1 online resource (XVIII, 140 p.)
Local Notes
Access is available to the Yale community.
Access and use
Access restricted by licensing agreement.
Summary
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.
Variant and related titles
Springer ENIN.
Other formats
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Added to Catalog
October 06, 2020
Series
Lecture Notes in Mathematics, 2267