The Maximal Subgroups of Positive Dimension in 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 The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups write by Martin W. Liebeck. This book was released on 2004. The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups available in PDF, EPUB and Kindle. Intends to complete the determination of the maximal subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields. This title follows work of Dynkin, who solved the problem in characteristic zero, and Seitz who did likewise over fields whose characteristic is not too small.
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.
Reductive Subgroups of Exceptional Algebraic Groups
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.
The Maximal Subgroups of Classical Algebraic Groups
The Maximal Subgroups of Classical 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 The Maximal Subgroups of Classical Algebraic Groups write by Gary M. Seitz. This book was released on 1987. The Maximal Subgroups of Classical Algebraic Groups available in PDF, EPUB and Kindle. 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.
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.
