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Representation Theory of Finite Reductive Groups

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Title: Representation Theory of Finite Reductive Groups
Description: At the crossroads of representation theory, algebraic geometry and finite group theory, this 2004 book blends together many of the main concerns of modern algebra, with full proofs of some of the most remarkable achievements in the area. Cabanes and Enguehard follow three main themes: first, applications of étale cohomology, leading to the proof of the recent Bonnafé–Rouquier theorems. The second is a straightforward and simplified account of the Dipper–James theorems relating irreducible characters and modular representations. The final theme is local representation theory. One of the main results here is the authors'version of Fong–Srinivasan theorems. Throughout the text is illustrated by many examples and background is provided by several introductory chapters on basic results and appendices on algebraic geometry and derived categories. The result is an essential introduction for graduate students and reference for all algebraists.
Authors: Marc Cabanes, Michel Enguehard
Resource Type: eBook.
Subjects: Finite groups, Representations of groups
Categories: MATHEMATICS / Algebra / General, MATHEMATICS / Finite Mathematics
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: 152235
RelevancyScore: 992
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 991.891296386719
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  Label: Title
  Group: Ti
  Data: Representation Theory of Finite Reductive Groups
– Name: Abstract
  Label: Description
  Group: Ab
  Data: At the crossroads of representation theory, algebraic geometry and finite group theory, this 2004 book blends together many of the main concerns of modern algebra, with full proofs of some of the most remarkable achievements in the area. Cabanes and Enguehard follow three main themes: first, applications of étale cohomology, leading to the proof of the recent Bonnafé–Rouquier theorems. The second is a straightforward and simplified account of the Dipper–James theorems relating irreducible characters and modular representations. The final theme is local representation theory. One of the main results here is the authors'version of Fong–Srinivasan theorems. Throughout the text is illustrated by many examples and background is provided by several introductory chapters on basic results and appendices on algebraic geometry and derived categories. The result is an essential introduction for graduate students and reference for all algebraists.
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  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Marc+Cabanes%22">Marc Cabanes</searchLink><br /><searchLink fieldCode="AR" term="%22Michel+Enguehard%22">Michel Enguehard</searchLink>
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  Data: eBook.
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22Finite+groups%22">Finite groups</searchLink><br /><searchLink fieldCode="DE" term="%22Representations+of+groups%22">Representations of groups</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 512.2
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Finite groups
        Type: general
      – SubjectFull: Representations of groups
        Type: general
    Titles:
      – TitleFull: Representation Theory of Finite Reductive Groups
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Marc Cabanes
      – PersonEntity:
          Name:
            NameFull: Michel Enguehard
      – PersonEntity:
          Name:
            NameFull: Marc Cabanes
      – PersonEntity:
          Name:
            NameFull: Michel Enguehard
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2004
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780521825177
            – Type: isbn-electronic
              Value: 9780511165665
          Numbering:
            – Type: volume
              Value: 00001
          Titles:
            – TitleFull: Representation Theory of Finite Reductive Groups
              Type: main
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