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  3. Representation Theory of Finite Reductive Groups
  • Cited by 106
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    • Publisher:
      Cambridge University Press
      Publication date:
      August 2010
      January 2004
      ISBN:
      9780511542763
      9780521825177
      DOI:
      https://doi.org/10.1017/CBO9780511542763
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.84kg, 456 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Algebra
      Series:
      New Mathematical Monographs (1)
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    Subjects:
    Mathematics (general), Mathematics, Algebra
    Series:
    New Mathematical Monographs (1)
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    Book 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.

    Reviews

    'This monograph treats the representation theory of finite reductive groups mostly in transversal characteristic, i.e. in a characteristic that differs from the natural characteristic p of the group.'

    Source: Zentralblatt MATH

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