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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 : Armand Borel
Publisher :
ISBN 13 : 9783662208182
Total Pages : 340 pages
Book Rating : 4.2/5 (81 download)
Download or read book Seminar on Algebraic Groups and Related Finite Groups written by Armand Borel and published by . This book was released on 2014-09-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Armand Borel
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (12 download)
Download or read book Seminar on algebraic groups and related finite groups written by Armand Borel and published by . This book was released on 1970 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Seminar on Algebraic Groups and Related Finite Groups. 1968 - 1969, Princeton, NJ.
Publisher :
ISBN 13 :
Total Pages : 321 pages
Book Rating : 4.:/5 (18 download)
Download or read book Seminar on Algebraic Groups and Related Finite Groups written by Seminar on Algebraic Groups and Related Finite Groups. 1968 - 1969, Princeton, NJ. and published by . This book was released on 1986 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Fong
Publisher : American Mathematical Soc.
ISBN 13 : 9780821868119
Total Pages : 504 pages
Book Rating : 4.8/5 (681 download)
Download or read book The Arcata conference on representations of finite groups, Part 1 written by Paul Fong and published by American Mathematical Soc.. This book was released on 1987-12-31 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Arkadij L. Onishchik
Publisher : Springer Science & Business Media
ISBN 13 : 364274334X
Total Pages : 347 pages
Book Rating : 4.6/5 (427 download)
Download or read book Lie Groups and Algebraic Groups written by Arkadij L. Onishchik and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the notes of the authors' seminar on algebraic and Lie groups held at the Department of Mechanics and Mathematics of Moscow University in 1967/68. Our guiding idea was to present in the most economic way the theory of semisimple Lie groups on the basis of the theory of algebraic groups. Our main sources were A. Borel's paper [34], C. ChevalIey's seminar [14], seminar "Sophus Lie" [15] and monographs by C. Chevalley [4], N. Jacobson [9] and J-P. Serre [16, 17]. In preparing this book we have completely rearranged these notes and added two new chapters: "Lie groups" and "Real semisimple Lie groups". Several traditional topics of Lie algebra theory, however, are left entirely disregarded, e.g. universal enveloping algebras, characters of linear representations and (co)homology of Lie algebras. A distinctive feature of this book is that almost all the material is presented as a sequence of problems, as it had been in the first draft of the seminar's notes. We believe that solving these problems may help the reader to feel the seminar's atmosphere and master the theory. Nevertheless, all the non-trivial ideas, and sometimes solutions, are contained in hints given at the end of each section. The proofs of certain theorems, which we consider more difficult, are given directly in the main text. The book also contains exercises, the majority of which are an essential complement to the main contents.
Author : William R. Scott
Publisher : Academic Press
ISBN 13 : 1483261085
Total Pages : 580 pages
Book Rating : 4.4/5 (832 download)
Download or read book Proceedings of the Conference on Finite Groups written by William R. Scott and published by Academic Press. This book was released on 2014-05-10 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Conference on Finite Groups provides information pertinent to the fundamental aspects of finite group theory. This book presents the problem of characterizing simple groups in terms of the local structure of a group. Organized into five parts encompassing 43 chapters, this book begins with an overview of the characterization of the Chevalley groups over fields of odd order and indicates the role of this characterization in the theory of component type groups. This text then examines the structure as well as the representations of specific simple groups. Other chapters consider the general theory of representations and characters of finite groups. This book discusses as well permutation groups and the connection between group theory and geometry. The final chapter deals with finite solvable groups as well as the theory of formations. This book is a valuable resource for mathematicians, graduate students, and research workers.
Author : V. Dlab
Publisher : Springer Science & Business Media
ISBN 13 : 9401715564
Total Pages : 392 pages
Book Rating : 4.4/5 (17 download)
Download or read book Finite Dimensional Algebras and Related Topics written by V. Dlab and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on invited lectures at the 1992 Canadian Algebra Seminar, this volume represents an up-to-date and unique report on finite-dimensional algebras as a subject with many serious interactions with other mathematical disciplines, including algebraic groups and Lie theory, automorphic forms, sheaf theory, finite groups, and homological algebra. It will interest mathematicians and graduate students in these and related subjects as an introduction to research in an area of increasing relevance and importance.
Author : B. Hartley
Publisher : Springer Science & Business Media
ISBN 13 : 9401103291
Total Pages : 469 pages
Book Rating : 4.4/5 (11 download)
Download or read book Finite and Locally Finite Groups written by B. Hartley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the NATO Advanced Study Institute on Finite and Locally Finite Groups held in Istanbul, Turkey, 14-27 August 1994, at which there were about 90 participants from some 16 different countries. The ASI received generous financial support from the Scientific Affairs Division of NATO. INTRODUCTION A locally finite group is a group in which every finite set of elements is contained in a finite subgroup. The study of locally finite groups began with Schur's result that a periodic linear group is, in fact, locally finite. The simple locally finite groups are of particular interest. In view of the classification of the finite simple groups and advances in representation theory, it is natural to pursue classification theorems for simple locally finite groups. This was one of the central themes of the Istanbul conference and significant progress is reported herein. The theory of simple locally finite groups intersects many areas of group theory and representation theory, so this served as a focus for several articles in the volume. Every simple locally finite group has what is known as a Kegel cover. This is a collection of pairs {(G , Ni) liE I}, where I is an index set, each group Gi is finite, i Ni
Author : Chat Yin Ho
Publisher : Walter de Gruyter
ISBN 13 : 3110198126
Total Pages : 434 pages
Book Rating : 4.1/5 (11 download)
Download or read book Finite Groups 2003 written by Chat Yin Ho and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a volume of research articles related to finite groups. Topics covered include the classification of finite simple groups, the theory of p-groups, cohomology of groups, representation theory and the theory of buildings and geometries. As well as more than twenty original papers on the latest developments, which will be of great interest to specialists, the volume contains several expository articles, from which students and non-experts can learn about the present state of knowledge and promising directions for further research. The Finite Groups 2003 conference was held in honor of John Thompson. The profound influence of his fundamental contributions is clearly visible in this collection of papers dedicated to him.
Author : Bertram A. F. Wehrfritz
Publisher : World Scientific
ISBN 13 : 9789810238742
Total Pages : 138 pages
Book Rating : 4.2/5 (387 download)
Download or read book Finite Groups written by Bertram A. F. Wehrfritz and published by World Scientific. This book was released on 1999 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of groups, especially of finite groups, is one of the most delightful areas of mathematics. Its proofs often have elegance and crystalline beauty. This textbook is intended for the reader who has been exposed to about three years of serious mathematics. The notion of a group appears widely in mathematics and even further afield in physics and chemistry, and the fundamental idea should be known to all mathematicians. In this textbook a purely algebraic approach is taken and the choice of material is based upon the notion of conjugacy. The aim is not only to cover basic material, but also to present group theory as a living, vibrant and growing discipline, by including references and discussion of some work up to the present day.
Author : James E. Humphreys
Publisher : Cambridge University Press
ISBN 13 : 9780521674546
Total Pages : 260 pages
Book Rating : 4.6/5 (745 download)
Download or read book Modular Representations of Finite Groups of Lie Type written by James E. Humphreys and published by Cambridge University Press. This book was released on 2006 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.
Author : Meinolf Geck
Publisher : Cambridge University Press
ISBN 13 : 1108808905
Total Pages : 406 pages
Book Rating : 4.1/5 (88 download)
Download or read book The Character Theory of Finite Groups of Lie Type written by Meinolf Geck and published by Cambridge University Press. This book was released on 2020-02-27 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics and computer algebra, and has since evolved substantially. With this book, the authors meet the need for a contemporary treatment, complementing in core areas the well-established books of Carter and Digne–Michel. Focusing on applications in finite group theory, the authors gather previously scattered results and allow the reader to get to grips with the large body of literature available on the subject, covering topics such as regular embeddings, the Jordan decomposition of characters, d-Harish–Chandra theory and Lusztig induction for unipotent characters. Requiring only a modest background in algebraic geometry, this useful reference is suitable for beginning graduate students as well as researchers.
Author : Paul Fong
Publisher : American Mathematical Soc.
ISBN 13 : 082181477X
Total Pages : 501 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Arcata Conference on Representations of Finite Groups, Part 1 written by Paul Fong and published by American Mathematical Soc.. This book was released on 1987 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : James E. Humphreys
Publisher : American Mathematical Soc.
ISBN 13 : 0821852760
Total Pages : 218 pages
Book Rating : 4.8/5 (218 download)
Download or read book Conjugacy Classes in Semisimple Algebraic Groups written by James E. Humphreys and published by American Mathematical Soc.. This book was released on 1995 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a useful exposition of results on the structure of semisimple algebraic groups over an arbitrary algebraically closed field. After the fundamental work of Borel and Chevalley in the 1950s and 1960s, further results were obtained over the next thirty years on conjugacy classes and centralizers of elements of such groups.
Author : Bruce Cooperstein
Publisher : American Mathematical Soc.
ISBN 13 : 0821814400
Total Pages : 654 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Santa Cruz Conference on Finite Groups written by Bruce Cooperstein and published by American Mathematical Soc.. This book was released on 1980 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt:
