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  3. Modular Representations of Finite Groups of Lie Type
  • Cited by 22
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    • Publisher:
      Cambridge University Press
      Publication date:
      November 2009
      December 2005
      ISBN:
      9780511525940
      9780521674546
      DOI:
      https://doi.org/10.1017/CBO9780511525940
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.34kg, 248 Pages
      • Subjects:
      Mathematics (general), Mathematics, Algebra
      Series:
      London Mathematical Society Lecture Note Series (326)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Algebra
    Series:
    London Mathematical Society Lecture Note Series (326)
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    Book description

    Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic. As a subtheme, the relationship between ordinary and modular representations is explored, in the context of Deligne–Lusztig characters. One goal has been to make the subject more accessible to those working in neighbouring parts of group theory, number theory, and topology. Core material is treated in detail, but the later chapters emphasize informal exposition accompanied by examples and precise references.

    Reviews

    'This is the first comprehensive treatment of the representation theory of finate groups of Lie type over a field of the defining prime charecteristic.'

    Source: L'enseignement mathematique

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