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Representations of Finite Groups of Lie Type : London Mathematical Society Student Texts - Francois Digne

Representations of Finite Groups of Lie Type

London Mathematical Society Student Texts

Hardcover Published: 11th July 2002
ISBN: 9780521401173
Number Of Pages: 168

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The authors aim to treat the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups. They emphasize the Curtis-Alvis duality map and Mackey's theorem and the results that can be deduced from it. They also discuss Deligne-Lusztig induction. This will be the first elementary treatment of this material in book form and will be welcomed by beginning graduate students in algebra.

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"...clearly written, well-organized, and has proofs wherever possible. There are also many examples illustrating the theory." Bhama Srinivasan, Mathematical Reviews

Background results
Bruhat decomposition
Reduced subgroups of maximal rank, centralisers and semisimple elements
Rationality, Frobenius maps, Lang's theorem
Generalized induction associated with a bimodule
Mackey's theorem
Harish-Chandra theory
Complements on RGL
Duality of characters
Steinberg characters
l-adic cohomology
Deligne-Lusztig induction
Character formulae and their complements in Deligne-Lusztig induction
Geometric conjugation, Lusztig series
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521401173
ISBN-10: 0521401178
Series: London Mathematical Society Student Texts
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 168
Published: 11th July 2002
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.27
Weight (kg): 0.42

Earn 601 Qantas Points
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