Description 
1 online resource (xv, 233 pages) : illustrations 
Series 
London Mathematical Society lecture note series ; 326 

London Mathematical Society lecture note series ; 326.

Contents 
1. Finite groups of Lie type  2. Simple modules  3. Weyl modules and Lusztig's conjecture  4. Computation of weight multiplicities  5. Other aspects of simple modules  6. Tensor products  7. BNpairs and induced modules  8. Blocks  9. Projective modules  10. Comparison with Frobenius kernels  11. Cartan invariants  12. Extensions of simple modules  13. Loewy series  14. Cohomology  15. Complexity and support varieties  16. Ordinary and modular representations  17. DeligneLusztig characters  18. groups G[subscript 2](q)  19. General and special linear groups  20. Suzuki and Ree groups 
Summary 
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 DeligneLusztig 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 
Bibliography 
Includes bibliographical references (pages 213228) and index 
Notes 
English 

Print version record 
Subject 
Modular representations of groups.


Representations of Lie groups.


Finite simple groups.


MATHEMATICS  Group Theory.


Finite simple groups


Modular representations of groups


Representations of Lie groups


Eindige groepen.


Liegroepen.

Form 
Electronic book

Author 
London Mathematical Society.

ISBN 
9781107362802 

1107362806 

1139882538 

9781139882538 

1107367719 

9781107367715 

1107372259 

9781107372252 

1107370043 

9781107370043 

1299405312 

9781299405318 

1107365252 

9781107365254 
