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Representations of Finite Groups of Lie Type (Hardcover, 2nd Revised edition)
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Representations of Finite Groups of Lie Type (Hardcover, 2nd Revised edition)
Series: London Mathematical Society Student Texts
Expected to ship within 12 - 17 working days
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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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