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Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

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Title: Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups
Description: This book presents an introduction to the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The reader will find a detailed description of the theory of induced representations and Clifford theory, focusing on a general formulation of the little group method. This provides essential tools for the determination of all irreducible representations of wreath products of finite groups. The exposition also includes a detailed harmonic analysis of the finite lamplighter groups, the hyperoctahedral groups, and the wreath product of two symmetric groups. This relies on the generalised Johnson scheme, a new construction of finite Gelfand pairs. The exposition is completely self-contained and accessible to anyone with a basic knowledge of representation theory. Plenty of worked examples and several exercises are provided, making this volume an ideal textbook for graduate students. It also represents a useful reference for more experienced researchers.
Authors: Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Resource Type: eBook.
Subjects: Finite groups, Harmonic analysis
Categories: MATHEMATICS / Algebra / Intermediate
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 685305
RelevancyScore: 1057
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1057.36352539063
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups
– Name: Abstract
  Label: Description
  Group: Ab
  Data: This book presents an introduction to the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The reader will find a detailed description of the theory of induced representations and Clifford theory, focusing on a general formulation of the little group method. This provides essential tools for the determination of all irreducible representations of wreath products of finite groups. The exposition also includes a detailed harmonic analysis of the finite lamplighter groups, the hyperoctahedral groups, and the wreath product of two symmetric groups. This relies on the generalised Johnson scheme, a new construction of finite Gelfand pairs. The exposition is completely self-contained and accessible to anyone with a basic knowledge of representation theory. Plenty of worked examples and several exercises are provided, making this volume an ideal textbook for graduate students. It also represents a useful reference for more experienced researchers.
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  Data: <searchLink fieldCode="AR" term="%22Tullio+Ceccherini-Silberstein%22">Tullio Ceccherini-Silberstein</searchLink><br /><searchLink fieldCode="AR" term="%22Fabio+Scarabotti%22">Fabio Scarabotti</searchLink><br /><searchLink fieldCode="AR" term="%22Filippo+Tolli%22">Filippo Tolli</searchLink>
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  Data: eBook.
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  Data: <searchLink fieldCode="DE" term="%22Finite+groups%22">Finite groups</searchLink><br /><searchLink fieldCode="DE" term="%22Harmonic+analysis%22">Harmonic analysis</searchLink>
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Algebra+%2F+Intermediate%22">MATHEMATICS / Algebra / Intermediate</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 512.23
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Finite groups
        Type: general
      – SubjectFull: Harmonic analysis
        Type: general
    Titles:
      – TitleFull: Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Tullio Ceccherini-Silberstein
      – PersonEntity:
          Name:
            NameFull: Fabio Scarabotti
      – PersonEntity:
          Name:
            NameFull: Filippo Tolli
      – PersonEntity:
          Name:
            NameFull: Tullio Ceccherini-Silberstein
      – PersonEntity:
          Name:
            NameFull: Fabio Scarabotti
      – PersonEntity:
          Name:
            NameFull: Filippo Tolli
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      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2014
            – D: 04
              M: 03
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9781107627857
            – Type: isbn-electronic
              Value: 9781107732292
          Titles:
            – TitleFull: Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups
              Type: main
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