Deligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and particularly l-adic cohomology. Many excellent texts present, with different goals and perspectives, this theory in the general setting. This book focuses on the sm…
This book presents a classification of all (complex) irreducible representations of a reductive group with connected center, over a finite field. To achieve this, the author uses étale intersection cohomology, and detailed information on representations of Weyl groups.
This book presents a classification of all (complex) irreducible representations of a reductive group with connected center, over a finite field. To achieve this, the author uses étale intersection cohomology, and detailed information on representations of Weyl groups.