The Reductive Subgroups of F4 (Memoirs of the American Mathematical Society) free ebook download.

Home : Book details

The Reductive Subgroups of F4 (Memoirs of the American Mathematical Society) free ebook download

Category:
Mathematics

Views: 108
Likes: 161

Catalogue

Author(s):	David I. Stewart

Date:	2013	Format:	PDF	Language:	English	ISBN/ASIN:	0821883321
Pages:	1	OCR:		Quality:		ISBN13:
Uploader:	stirkout	Upload Date:	4/12/2020 5:59:36 PM

To download click on link in the Links Table below

Description: Click to see full description

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 G-completely 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 G-irreducible if X is in no proper parabolic subgroup of G  and G-reducible 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 G-reducible subgroups X of G. Thus he also finds all non-G-completely 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 G-irreducible 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.

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
2751207	Book	https://tezfiles.com/file/c096b2f3a2c23...		0.00	stirkout

Tags: American Mathematical Memoirs Reductive Society Subgroups

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:
Comments

New comment: