Reductive Subgroups of Exceptional Algebraic Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Reductive Subgroups of Exceptional Algebraic Groups write by Martin W. Liebeck. This book was released on 1996. Reductive Subgroups of Exceptional Algebraic Groups available in PDF, EPUB and Kindle. 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.
Maximal Subgroups of Exceptional Algebraic Groups
Maximal Subgroups of Exceptional Algebraic Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Maximal Subgroups of Exceptional Algebraic Groups write by Gary M. Seitz. This book was released on 1991. Maximal Subgroups of Exceptional Algebraic Groups available in PDF, EPUB and Kindle. 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.
Irreducible Subgroups of Exceptional Algebraic Groups
Irreducible Subgroups of Exceptional Algebraic Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Irreducible Subgroups of Exceptional Algebraic Groups write by Donna M. Testerman. This book was released on 1988. Irreducible Subgroups of Exceptional Algebraic Groups available in PDF, EPUB and Kindle. 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.
Algebraic Groups and their Representations
Algebraic Groups and their Representations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Groups and their Representations write by R.W. Carter. This book was released on 2012-12-06. Algebraic Groups and their Representations available in PDF, EPUB and Kindle. 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.
Representations of Reductive Groups
Representations of Reductive Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representations of Reductive Groups write by Roger W. Carter. This book was released on 1998-09-03. Representations of Reductive Groups available in PDF, EPUB and Kindle. This volume provides a very accessible introduction to the representation theory of reductive algebraic groups.
