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Author : Armand Borel
Publisher :
ISBN 13 :
Total Pages : 444 pages
Book Rating : 4.3/5 (91 download)
Download or read book Algebraic Groups and Discontinuous Subgroups written by Armand Borel and published by . This book was released on 1966 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Armand Borel
Publisher :
ISBN 13 :
Total Pages : 426 pages
Book Rating : 4.:/5 (91 download)
Download or read book Algebraic Groups and Discontinuous Subgroups written by Armand Borel and published by . This book was released on 1963 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 426 pages
Book Rating : 4.:/5 (841 download)
Download or read book Algebraic Groups and Discontinuous Subgroups written by American Mathematical Society and published by . This book was released on 1969 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gary M. Seitz
Publisher : American Mathematical Soc.
ISBN 13 : 0821824279
Total Pages : 294 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Maximal Subgroups of Classical Algebraic Groups written by Gary M. Seitz and published by American Mathematical Soc.. This book was released on 1987 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let [italic]V be a finite dimensional vector space over an algebraically closed field of characteristic p [greater than] 0 and let G = SL([italic]V), Sp([italic]V), or SO([italic]V). The main result describes all closed, connected, overgroups of [italic]X in SL([italic]V), assuming [italic]X is a closed, connected, irreducible subgroup of G.
Author : Gary M. Seitz
Publisher : American Mathematical Soc.
ISBN 13 : 0821825046
Total Pages : 205 pages
Book Rating : 4.8/5 (218 download)
Download or read book Maximal Subgroups of Exceptional Algebraic Groups written by Gary M. Seitz and published by American Mathematical Soc.. This book was released on 1991 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let [italic]G be a simple algebraic group of exceptional type over an algebraically closed field of characteristic [italic]p. The subgroups of [italic]G maximal with respect to being closed and connected are determined, although mild restrictions on [italic]p are required in dealing with certain simple subgroups of low rank. For [italic]p = 0 we recover the results of Dynkin.
Author : R.W. Carter
Publisher : Springer Science & Business Media
ISBN 13 : 9780792352518
Total Pages : 406 pages
Book Rating : 4.3/5 (525 download)
Download or read book Algebraic Groups and their Representations written by R.W. Carter and published by Springer Science & Business Media. This book was released on 1998-08-31 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 19 articles written by speakers at the Advanced Study Institute on 'Modular representations and subgroup structure of al gebraic groups and related finite groups' held at the Isaac Newton Institute, Cambridge from 23rd June to 4th July 1997. We acknowledge with gratitude the financial support given by the NATO Science Committee to enable this ASI to take place. Generous financial support was also provided by the European Union. We are also pleased to acknowledge funds given by EPSRC to the Newton Institute which were used to support the meeting. It is a pleasure to thank the Director of the Isaac Newton Institute, Professor Keith Moffatt, and the staff of the Institute for their dedicated work which did so much to further the success of the meeting. The editors wish to thank Dr. Ross Lawther and Dr. Nick Inglis most warmly for their help in the production of this volume. Dr. Lawther in particular made an invaluable contribution in preparing the volume for submission to the publishers. Finally we wish to thank the distinguished speakers at the ASI who agreed to write articles for this volume based on their lectures at the meet ing. We hope that the volume will stimulate further significant advances in the theory of algebraic groups.
Author : Martin W. Liebeck
Publisher : American Mathematical Soc.
ISBN 13 : 0821804618
Total Pages : 122 pages
Book Rating : 4.8/5 (218 download)
Download or read book Reductive Subgroups of Exceptional Algebraic Groups written by Martin W. Liebeck and published by American Mathematical Soc.. This book was released on 1996 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of simple algebraic groups is important in many areas of mathematics. The authors of this book investigate the subgroups of certain types of simple algebraic groups and obtain a complete description of all those subgroups which are themselves simple. This description is particularly useful in understanding centralizers of subgroups and restrictions of representations.
Author : Donna M. Testerman
Publisher : American Mathematical Soc.
ISBN 13 : 0821824538
Total Pages : 198 pages
Book Rating : 4.8/5 (218 download)
Download or read book Irreducible Subgroups of Exceptional Algebraic Groups written by Donna M. Testerman and published by American Mathematical Soc.. This book was released on 1988 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let [italic]Y be a simply-connected, simple algebraic group of exceptional type, defined over an algebraically closed field [italic]k of prime characteristic [italic]p > 0. The main result describes all semisimple, closed connected subgroups of [italic]Y which act irreducibly on some rational [italic]k[italic]Y module [italic]V. This extends work of Dynkin who obtained a similar classification for algebraically closed fields of characteristic 0. The main result has been combined with work of G. Seitz to obtain a classification of the maximal closed connected subgroups of the classical algebraic groups defined over [italic]k.
Author : Alfonso Di Bartolo
Publisher : Springer Science & Business Media
ISBN 13 : 3540785833
Total Pages : 223 pages
Book Rating : 4.5/5 (47 download)
Download or read book Algebraic Groups and Lie Groups with Few Factors written by Alfonso Di Bartolo and published by Springer Science & Business Media. This book was released on 2008-04-17 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume treats algebraic groups from a group theoretical point of view and compares the results with the analogous issues in the theory of Lie groups. It examines a classification of algebraic groups and Lie groups having only few subgroups.
Author : Joseph Lehner
Publisher : American Mathematical Soc.
ISBN 13 : 0821815083
Total Pages : 440 pages
Book Rating : 4.8/5 (218 download)
Download or read book Discontinuous Groups and Automorphic Functions written by Joseph Lehner and published by American Mathematical Soc.. This book was released on 1964-12-31 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much has been written on the theory of discontinuous groups and automorphic functions since 1880, when the subject received its first formulation. The purpose of this book is to bring together in one place both the classical and modern aspects of the theory, and to present them clearly and in a modern language and notation. The emphasis in this book is on the fundamental parts of the subject. The book is directed to three classes of readers: graduate students approaching the subject for the first time, mature mathematicians who wish to gain some knowledge and understanding of automorphic function theory, and experts.
Author : Robert Steinberg
Publisher : American Mathematical Soc.
ISBN 13 : 0821812807
Total Pages : 113 pages
Book Rating : 4.8/5 (218 download)
Download or read book Endomorphisms of Linear Algebraic Groups written by Robert Steinberg and published by American Mathematical Soc.. This book was released on 1968 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James E. Humphreys
Publisher : American Mathematical Soc.
ISBN 13 : 0821812718
Total Pages : 80 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Groups and Modular Lie Algebras written by James E. Humphreys and published by American Mathematical Soc.. This book was released on 1967 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Platonov
Publisher : Cambridge University Press
ISBN 13 : 052111361X
Total Pages : 379 pages
Book Rating : 4.5/5 (211 download)
Download or read book Algebraic Groups and Number Theory written by Vladimir Platonov and published by Cambridge University Press. This book was released on 2023-08-31 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume of a two-volume book offering a comprehensive account of the arithmetic theory of algebraic groups.
Author : Vladimir Platonov
Publisher : Cambridge University Press
ISBN 13 : 1009380656
Total Pages : 380 pages
Book Rating : 4.0/5 (93 download)
Download or read book Algebraic Groups and Number Theory: Volume 1 written by Vladimir Platonov and published by Cambridge University Press. This book was released on 2023-08-31 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book provided the first systematic exposition of the arithmetic theory of algebraic groups. This revised second edition, now published in two volumes, retains the same goals, while incorporating corrections and improvements, as well as new material covering more recent developments. Volume I begins with chapters covering background material on number theory, algebraic groups, and cohomology (both abelian and non-abelian), and then turns to algebraic groups over locally compact fields. The remaining two chapters provide a detailed treatment of arithmetic subgroups and reduction theory in both the real and adelic settings. Volume I includes new material on groups with bounded generation and abstract arithmetic groups. With minimal prerequisites and complete proofs given whenever possible, this book is suitable for self-study for graduate students wishing to learn the subject as well as a reference for researchers in number theory, algebraic geometry, and related areas.
Author : Armand Borel
Publisher : Springer
ISBN 13 : 354036272X
Total Pages : 329 pages
Book Rating : 4.5/5 (43 download)
Download or read book Seminar on Algebraic Groups and Related Finite Groups written by Armand Borel and published by Springer. This book was released on 2006-11-14 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. E. Humphreys
Publisher : Springer
ISBN 13 : 3540391983
Total Pages : 166 pages
Book Rating : 4.5/5 (43 download)
Download or read book Arithmetic Groups written by J. E. Humphreys and published by Springer. This book was released on 2006-11-14 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gregori A. Margulis
Publisher : Springer Science & Business Media
ISBN 13 : 9783540121794
Total Pages : 408 pages
Book Rating : 4.1/5 (217 download)
Download or read book Discrete Subgroups of Semisimple Lie Groups written by Gregori A. Margulis and published by Springer Science & Business Media. This book was released on 1991-02-15 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete subgroups have played a central role throughout the development of numerous mathematical disciplines. Discontinuous group actions and the study of fundamental regions are of utmost importance to modern geometry. Flows and dynamical systems on homogeneous spaces have found a wide range of applications, and of course number theory without discrete groups is unthinkable. This book, written by a master of the subject, is primarily devoted to discrete subgroups of finite covolume in semi-simple Lie groups. Since the notion of "Lie group" is sufficiently general, the author not only proves results in the classical geometry setting, but also obtains theorems of an algebraic nature, e.g. classification results on abstract homomorphisms of semi-simple algebraic groups over global fields. The treatise of course contains a presentation of the author's fundamental rigidity and arithmeticity theorems. The work in this monograph requires the language and basic results from fields such as algebraic groups, ergodic theory, the theory of unitary representatons, and the theory of amenable groups. The author develops the necessary material from these subjects; so that, while the book is of obvious importance for researchers working in related areas, it is essentially self-contained and therefore is also of great interest for advanced students.
