The Character Theory of Finite Groups of Lie Type

Released on by Meinolf Geck
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  • The Character Theory of Finite Groups of Lie Type Book Detail

  • Author : Meinolf Geck
  • Release Date : 2020-02-27
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 406
  • ISBN 13 : 1108808905
  • File Size : 25,25 MB
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The Character Theory of Finite Groups of Lie Type by Meinolf Geck PDF Summary

Book Description: Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics and computer algebra, and has since evolved substantially. With this book, the authors meet the need for a contemporary treatment, complementing in core areas the well-established books of Carter and Digne–Michel. Focusing on applications in finite group theory, the authors gather previously scattered results and allow the reader to get to grips with the large body of literature available on the subject, covering topics such as regular embeddings, the Jordan decomposition of characters, d-Harish–Chandra theory and Lusztig induction for unipotent characters. Requiring only a modest background in algebraic geometry, this useful reference is suitable for beginning graduate students as well as researchers.

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Finite Groups of Lie Type

Finite Groups of Lie Type

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The finite groups of Lie type are of basic importance in the theory of groups. A classic in its field, this book presents the theories of finite groups of Lie t