The reductive subgroups of F₄
 Responsibility
 David I. Stewart.
 Publication
 Providence, Rhode Island : American Mathematical Society, 2013.
 Physical description
 v, 88 pages ; 25cm
 Series
 Memoirs of the American Mathematical Society ; no. 1049.
 Memoirs of the American Mathematical Society ; number 1049.
Access
Available online
Science Library (Li and Ma)
Serials
Call number  Status 

Shelved by Series title NO.1049  Unknown 
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Creators/Contributors
 Author/Creator
 Stewart, David I., 1981
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Table of Contents * Introduction * Overview * General Theory * Reductive subgroups of $F_4$ * Appendices * Bibliography.
 (source: Nielsen Book Data)9780821883327 20160612
 Publisher's Summary
 Let G=G(K) be a simple algebraic group defined over an algebraically closed field K of characteristic p=0. A subgroup X of G is said to be Gcompletely reducible if, whenever it is contained in a parabolic subgroup of G, it is contained in a Levi subgroup of that parabolic. A subgroup X of G is said to be Girreducible if X is in no proper parabolic subgroup of G; and Greducible if it is in some proper parabolic of G. In this paper, the author considers the case that G=F4(K). The author finds all conjugacy classes of closed, connected, semisimple Greducible subgroups X of G. Thus he also finds all nonGcompletely reducible closed, connected, semisimple subgroups of G. When X is closed, connected and simple of rank at least two, he finds all conjugacy classes of Girreducible subgroups X of G. Together with the work of Amende classifying irreducible subgroups of type A1 this gives a complete classification of the simple subgroups of G. The author also uses this classification to find all subgroups of G=F4 which are generated by short root elements of G, by utilising and extending the results of Liebeck and Seitz.
(source: Nielsen Book Data)9780821883327 20160612
Subjects
Bibliographic information
 Publication date
 2013
 Title Variation
 Reductive subgroups of F4
 Series
 Memoirs of the American Mathematical Society, 00659266 ; number 1049
 Note
 "May 2013, volume 223, number 1049 (third of 5 numbers)."
 ISBN
 9780821883327 (alk. paper)
 0821883321 (alk. paper)