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Representations of finite groups of Lie type / François Digne, Université de Picardie Jules Verne, Amiens, Jean Michel, Centre National de la Recherche Scientifique (CNRS), Paris.
Math/Physics/Astronomy Library QA387 .D54 2020
Available
- Format:
- Book
- Author/Creator:
- Digne, François, author.
- Michel, Jean, author.
- Series:
- London Mathematical Society student texts ; 95.
- London mathematical society student texts ; 95
- Language:
- English
- Subjects (All):
- Lie groups.
- Representations of groups.
- Physical Description:
- vii, 258 pages : illustrations ; 24 cm.
- Edition:
- Second edition.
- Place of Publication:
- Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2020.
- Contents:
- Basic results on algebraic groups
- Structure theorems for reductive groups
- (B, N)-pairsparabolic, Levi, and reductive subgroups: centralisers of semi-simple elements
- Rationality, the Frobenius endomorphism, the Lang-Steinberg theorem
- Harish-Chandra theory
- Iwahori-Hecke algebras
- The duality functor and the Steinberg character
- l-adic cohomology
- Deligne-Lusztig induction: the Mackey formula
- The character formula and other results on Deligne-Lusztig induction
- Geometric conjugacy and Lusztig series
- Regular elements; Gelfand-Graev representations; regular and semi-simple characters
- Green functions
- The decomposition of Deligne-Lusztig characters.
- Notes:
- Includes bibliographical references and index.
- Other Format:
- ebook version :
- ISBN:
- 9781108481489
- 1108481485
- 9781108722629
- 1108722628
- OCLC:
- 1133661839
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