Representations Of Finite Groups Of Lie Type
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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.
Representations Of Finite Groups Of Lie Type
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Author : François Digne
language : en
Publisher: Cambridge University Press
Release Date : 2020-03-31
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 2020-03-31 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.
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
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Author : François Digne
language : en
Publisher: Cambridge University Press
Release Date : 1991-04-26
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 1991-04-26 with Mathematics categories.
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
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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.
The Arcata Conference On Representations Of Finite Groups Part 1
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Author : Paul Fong
language : en
Publisher: American Mathematical Soc.
Release Date : 1987
The Arcata Conference On Representations Of Finite Groups Part 1 written by Paul Fong and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
The papers in these proceedings of the 1986 Arcata Summer Institute bear witness to the extraordinarily vital and intense research in the representation theory of finite groups. The confluence of diverse mathematical disciplines has brought forth work of great scope and depth. Particularly striking is the influence of algebraic geometry and cohomology theory in the modular representation theory and the character theory of reductive groups over finite fields, and in the general modular representation theory of finite groups. The continuing developments in block theory and the general character theory of finite groups is noteworthy. The expository and research aspects of the Summer Institute are well represented by these papers.
Groups Of Lie Type And Their Geometries
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Author : William M. Kantor
language : en
Publisher: Cambridge University Press
Release Date : 1995-01-12
Groups Of Lie Type And Their Geometries written by William M. Kantor 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 1995-01-12 with Mathematics categories.
Silk Hope, NC is a buoyant and moving parable in which two good women find, among the hidden, forgotten virtues of the past, a sustenance to carry them into the future.
Representation Theory Of Finite Groups A Guidebook
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Author : David A. Craven
language : en
Publisher: Springer Nature
Release Date : 2019-08-30
Representation Theory Of Finite Groups A Guidebook written by David A. Craven and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-30 with Mathematics categories.
This book provides an accessible introduction to the state of the art of representation theory of finite groups. Starting from a basic level that is summarized at the start, the book proceeds to cover topics of current research interest, including open problems and conjectures. The central themes of the book are block theory and module theory of group representations, which are comprehensively surveyed with a full bibliography. The individual chapters cover a range of topics within the subject, from blocks with cyclic defect groups to representations of symmetric groups. Assuming only modest background knowledge at the level of a first graduate course in algebra, this guidebook, intended for students taking first steps in the field, will also provide a reference for more experienced researchers. Although no proofs are included, end-of-chapter exercises make it suitable for student seminars.
Representations Of Finite Groups Of Lie Type
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Author : Hung Ngoc Nguyen
language : en
Publisher:
Release Date : 2008
Representations Of Finite Groups Of Lie Type written by Hung Ngoc Nguyen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
ABSTRACT: Let G be a finite quasi-simple group of Lie type. One of the important problems in modular representation theory is to determine when the restriction of an absolutely irreducible representation of G to its proper subgroups is still irreducible. The solution of this problem is a key step towards classifying all maximal subgroups of finite classical groups. We solve this problem for the cases where G is a Lie group of the following types: G2(q), 2B2(q), 2G2(q), and 3D4(q). One of the main tools to approach the above problem, and many others, is the classification of low-dimensional representations of finite groups of Lie type. Low-dimensional complex representations were first studied in [70] for finite classical groups and then in [50] for exceptional groups. We extend the results in [70] for symplectic and orthogonal groups to a larger bound. More explicitly, we classify irreducible complex characters of the symplectic groups Sp2[subscript]n(q) and orthogonal groups Spin[" over n] (q) of degrees up to the bound D, where D = (q[superscript]n - 1)q4[superscript]n-10/2 for symplectic groups, D = q4[superscript]n-8 for orthogonal groups in odd dimension, and D = q4[superscript]n−10 for orthogonal groups in even dimension.
Representation Theory Of Finite Groups
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Author : Ronald Solomon
language : en
Publisher: Walter de Gruyter
Release Date : 2012-05-02
Representation Theory Of Finite Groups written by Ronald Solomon and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-02 with Mathematics categories.
Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.