株式会社極東書店トップ商品一覧Gelfand Triples and Their Hecke Algebras : Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups. 1st ed. 2020.

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Gelfand Triples and Their Hecke Algebras

Gelfand Triples and Their Hecke Algebras : Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups. 1st ed. 2020.

・ISBN 978-3-030-51606-2 paper EUR 54.99

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お気に入り
著者・編者Ceccherini-Silberstein, Tullio / Scarabotti, Fabio / Tolli, Filippo,
シリーズLecture Notes in Mathematics
出版社(Springer Nature Switzerland AG, SZ)
出版年月2020
ページ数140 pp.
言語ENG
ニュース番号<M25-3897>

解説

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.