Representations of finite groups of Lie type. (English) Zbl 0815.20014

London Mathematical Society Student Texts. 21. Cambridge etc.: Cambridge University Press,. 159 p. (1991).
This book is based on a graduate course taught at the University of Paris. The authors aim is 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.


20C33 Representations of finite groups of Lie type
20G05 Representation theory for linear algebraic groups
20-02 Research exposition (monographs, survey articles) pertaining to group theory