Representations of finite groups of Lie type / Franc̦ois Digne and Jean Michel.

By:

Digne, François

Contributor(s):

Michel, Jean

Material type: Text

TextSeries: London Mathematical Society student texts ; 21.Publication details: Cambridge ; New York : Cambridge University Press, 1991.Description: 1 online resource (159 pages)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781139172417
1139172417
9781107088245
1107088240
9781107094468
1107094461
1316086941
9781316086940
1107091276
9781107091276
1107100267
9781107100268

Subject(s): Genre/Form:

Electronic books.

Additional physical formats: Print version:: Representations of finite groups of Lie type.DDC classification:

512/.55 22

LOC classification:

QA387 .D54 1991eb

Other classification:

31.21
31.30
*20C33
20-02
20G05
SK 340
MAT 225f
MAT 202f
MAT 203f

Online resources:

Click here to access online

Contents:

1. Bruhat decomposition parabolic subgroups -- 2. Intersections of parabolic subgroups -- 3. Rationality, Frobenius endomorphism -- 4. Harish-Chandra induction and restriction -- 5. The Mackey formula -- 6. Harish-Chandra's theory -- 7. Further results on Harish Chandra induction -- 8. The duality factor -- 9. The Steinberg character -- 10. l-adic cohomology -- 11. Deligne-Lusztig induction : the Mackey formula -- 12. The character formula and other results -- 13. Geometric conjugacy and Lusztig series -- 14. Regular elements : Gelfand-Graev representations -- 15. Examples.

Summary: This book is based on a graduate course taught at the University of Paris. 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 emphasise 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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Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Includes bibliographical references (pages 156-157) and index.

Print version record.

This book is based on a graduate course taught at the University of Paris. 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 emphasise 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.

English.

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