Multiplicity-Free Triples
This chapter is devoted to the study of multiplicity-free triples and their associated spherical functions. After the characterization of multiplicity-freenes in terms of commutativity of the associated Hecke algebra (Theorem 3.1), in Sect. 3.1 we present
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Tullio Ceccherini-Silberstein Fabio Scarabotti Filippo Tolli
Gelfand Triples and Their Hecke Algebras Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups Foreword by Eiichi Bannai
Lecture Notes in Mathematics Volume 2267
Editors-in-Chief Jean-Michel Morel, CMLA, ENS, Cachan, France Bernard Teissier, IMJ-PRG, Paris, France Series Editors Karin Baur, University of Leeds, Leeds, UK Michel Brion, UGA, Grenoble, France Camillo De Lellis, IAS, Princeton, NJ, USA Alessio Figalli, ETH Zurich, Zurich, Switzerland Annette Huber, Albert Ludwig University, Freiburg, Germany Davar Khoshnevisan, The University of Utah, Salt Lake City, UT, USA Ioannis Kontoyiannis, University of Cambridge, Cambridge, UK Angela Kunoth, University of Cologne, Cologne, Germany Ariane Mézard, IMJ-PRG, Paris, France Mark Podolskij, University of Luxembourg, Esch-sur-Alzette, Luxembourg Sylvia Serfaty, NYU Courant, New York, NY, USA Gabriele Vezzosi, UniFI, Florence, Italy Anna Wienhard, Ruprecht Karl University, Heidelberg, Germany
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Tullio Ceccherini-Silberstein • Fabio Scarabotti • Filippo Tolli
Gelfand Triples and Their Hecke Algebras Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups
Foreword by Eiichi Bannai
Tullio Ceccherini-Silberstein Dipartimento di Ingegneria Universit`a degli Studi del Sannio Benevento, Italy
Fabio Scarabotti Dipartimento SBAI Universit`a degli Studi di Roma “La Sapienza” Roma, Italy
Filippo Tolli Dipartimento di Matematica e Fisica Universit`a degli Studi Roma Tre Roma, Italy
ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics ISBN 978-3-030-51606-2 ISBN 978-3-030-51607-9 (eBook) https://doi.org/10.1007/978-3-030-51607-9 Mathematics Subject Classification: 20C15, 43A65, 20C08, 20G05, 43A90, 43A35 © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. T
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