Representations of Finite Groups of Lie Type (London Mathematical Society Student Texts, Series Number 21)

The authors aim to treat the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups. They emphasize the Curtis-Alvis duality map and Mackey's theorem and the results that can be deduced from it. They also discuss Deligne-Lusztig induction. This will be the first elementary treatment of this material in book form and will be welcomed by beginning graduate students in algebra.

Science & Math

Digne, François

Michel, Jean

Mathematics

Cambridge University Press

The authors aim to treat the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups. They emphasize the Curtis-Alvis duality map and Mackey's theorem and the results that can be deduced from it. They also discuss Deligne-Lusztig induction. This will be the first elementary treatment of this material in book form and will be welcomed by beginning graduate students in algebra.

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

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.

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.

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

See the best price to sell, buy, or rent books by Digne, François. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Digne, François

See the best price to sell, buy, or rent books by Digne, François. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Representations of Finite Groups of Lie Type (London Mathematical Society Student Texts, Series Number 21)

Representations of Finite Groups of Lie Type (London Mathematical Society Student Texts, Series Number 21)

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

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

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