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Representations of Finite Groups of Lie Type (London Mathematical Society Student Texts, Series Number 95) by François Digne, Jean Michel is a nonfiction available to read on EtoBox.

What is Representations of Finite Groups of Lie Type (London Mathematical Society Student Texts, Series Number 95) about?

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.

Who reads Representations of Finite Groups of Lie Type (London Mathematical Society Student Texts, Series Number 95)?

Author

François Digne, Jean Michel

Publisher

Cambridge University Press (Virtual Publishing)

Published

2020

Language

EN

ISBN

9781108722629

Category

nonfiction

Subjects

Mathematics, Stem