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portada Representations of Finite Groups of lie Type (London Mathematical Society Student Texts)
Type
Physical Book
Author
Publisher
Year
2020
Language
English
Pages
264
Format
Paperback
Dimensions
23.1x15.2x1.8 cm
Weight
0.39 kg.
ISBN13
9781108722629
Edition No.
0002
Categories

Representations of Finite Groups of lie Type (London Mathematical Society Student Texts)

Jean Michel (Author) · François Digne (Author) · Cambridge University Press · Paperback

Representations of Finite Groups of lie Type (London Mathematical Society Student Texts) - Digne, François ; Michel, Jean

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Synopsis "Representations of Finite Groups of lie Type (London Mathematical Society Student Texts) "

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.

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