Gelfand triples and their Hecke algebras : aarmonic analysis for multiplicity-free induced representations of finite groups /

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Bibliographic Details
Author / Creator:Ceccherini-Silberstein, Tullio, author.
Imprint:Cham, Switzerland : Springer, [2020]
Description:1 online resource.
Language:English
Series:Lecture Notes in Mathematics, 0075-8434 ; volume 2267
Lecture notes in mathematics (Springer-Verlag) ; 2267.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12608101
Hidden Bibliographic Details
Other authors / contributors:Scarabotti, Fabio, author.
Tolli, Filippo, 1968- author.
Bannai, Eiichi, writer of supplementary textual content.
ISBN:9783030516079
3030516075
9783030516079
9783030516062
3030516067
Digital file characteristics:text file PDF
Notes:Includes bibliographical references and index.
Description based on online resource; title from digital title page (viewed on November 04, 2020).
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.--
Other form:Original 3030516067 9783030516062
Standard no.:10.1007/978-3-030-51607-9.