Representations Of Finite Groups Of Lie Type


Representations Of Finite Groups Of Lie Type
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Representations Of Finite Groups Of Lie Type


Representations Of Finite Groups Of Lie Type
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Author : François Digne
language : en
Publisher: Cambridge University Press
Release Date : 2020-03-05

Representations Of Finite Groups Of Lie Type written by François Digne and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-05 with Mathematics categories.


An up-to-date and self-contained introduction based on a graduate course taught at the University of Paris.



Modular Representations Of Finite Groups Of Lie Type


Modular Representations Of Finite Groups Of Lie Type
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Author : James E. Humphreys
language : en
Publisher: Cambridge University Press
Release Date : 2006

Modular Representations Of Finite Groups Of Lie Type written by James E. Humphreys and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.


A comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.



Modular Representations Of Finite Groups Of Lie Type


Modular Representations Of Finite Groups Of Lie Type
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Author : James E. Humphreys
language : en
Publisher:
Release Date : 2006

Modular Representations Of Finite Groups Of Lie Type written by James E. Humphreys and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Electronic books categories.


Comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.



Representations Of Finite Groups Of Lie Type


Representations Of Finite Groups Of Lie Type
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Author : François Digne
language : en
Publisher:
Release Date : 2014-05-14

Representations Of Finite Groups Of Lie Type written by François Digne and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.


In this book, which is based on a graduate course taught at the University of Paris, the authors aim to treat the basic theory of representations of finite groups of Lie type.



Representations Of Finite Groups Of Lie Type


Representations Of Finite Groups Of Lie Type
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Author : Fran Ois Digne
language : en
Publisher:
Release Date : 2014-05-10

Representations Of Finite Groups Of Lie Type written by Fran Ois Digne and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with categories.


This book is based on a graduate course taught at the University of Paris. 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 emphasise the CurtisAlvis duality map and Mackey's theorem and the results that can be deduced from it. They also discuss DeligneLusztig 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


Representations Of Finite Groups Of Lie Type
DOWNLOAD

Author : François Digne
language : en
Publisher: Cambridge University Press
Release Date : 2020-03-05

Representations Of Finite Groups Of Lie Type written by François Digne and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-05 with Mathematics categories.


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.



The Character Theory Of Finite Groups Of Lie Type


The Character Theory Of Finite Groups Of Lie Type
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Author : Meinolf Geck
language : en
Publisher: Cambridge University Press
Release Date : 2020-02-27

The Character Theory Of Finite Groups Of Lie Type written by Meinolf Geck and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-27 with Mathematics categories.


A comprehensive guide to the vast literature and range of results around Lusztig's character theory of finite groups of Lie type.



Some Aspects Of The Representation Theory Of Finite Groups Of Lie Type


Some Aspects Of The Representation Theory Of Finite Groups Of Lie Type
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Author : Roger William Carter
language : en
Publisher:
Release Date : 1977

Some Aspects Of The Representation Theory Of Finite Groups Of Lie Type written by Roger William Carter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Finite groups categories.




Linear Algebraic Groups And Finite Groups Of Lie Type


Linear Algebraic Groups And Finite Groups Of Lie Type
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Author : Gunter Malle
language : en
Publisher: Cambridge University Press
Release Date : 2011-09-08

Linear Algebraic Groups And Finite Groups Of Lie Type written by Gunter Malle and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-08 with Mathematics categories.


Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second chapter introduces more specialized topics in the subgroup structure of semisimple groups and describes the classification of the maximal subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a consequence of the structural results on algebraic groups. This approach will help students to understand the relationship between these two classes of groups. The book covers many topics that are central to the subject, but missing from existing textbooks. The authors provide numerous instructive exercises and examples for those who are learning the subject as well as more advanced topics for research students working in related areas.



Finite Groups Of Lie Type


Finite Groups Of Lie Type
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Author : Roger W. Carter
language : en
Publisher:
Release Date : 1993-08-24

Finite Groups Of Lie Type written by Roger W. Carter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-24 with Mathematics categories.


The finite groups of Lie type are of basic importance in the theory of groups. A classic in its field, this book presents the theories of finite groups of Lie type in a clear and accessible style, especially with regard to the main concepts of the theory and the techniques of proof used, and gives a detailed exposition of the complex representation theory.