[Download] "Representations of Finite Groups of Lie Type" by François Digne & Jean Michel # eBook PDF Kindle ePub Free

eBook details

Title: Representations of Finite Groups of Lie Type
Author : François Digne & Jean Michel
Release Date : January 05, 2020
Genre: Mathematics,Books,Science & Nature,
Pages : * pages
Size : 43130 KB

Description

On its original publication, this book provided the first elementary treatment of representation theory of finite groups of Lie type in book form. This second edition features new material to reflect the continuous evolution of the subject, including entirely new chapters on Hecke algebras, Green functions and Lusztig families. The authors cover 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, before moving on to a discussion of Deligne–Lusztig induction and Lusztig's Jordan decomposition theorem for characters. The book contains the background information needed to make it a useful resource for beginning graduate students in algebra as well as seasoned researchers. It includes exercises and explicit examples.