Irreducible Almost Simple Subgroups of Classical Algebraic Groups

Irreducible Almost Simple Subgroups of Classical Algebraic Groups
Author :
Publisher : American Mathematical Soc.
Total Pages : 122
Release :
ISBN-10 : 9781470410469
ISBN-13 : 147041046X
Rating : 4/5 (69 Downloads)

Book Synopsis Irreducible Almost Simple Subgroups of Classical Algebraic Groups by : Timothy C. Burness

Download or read book Irreducible Almost Simple Subgroups of Classical Algebraic Groups written by Timothy C. Burness and published by American Mathematical Soc.. This book was released on 2015-06-26 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let be a simple classical algebraic group over an algebraically closed field of characteristic with natural module . Let be a closed subgroup of and let be a nontrivial -restricted irreducible tensor indecomposable rational -module such that the restriction of to is irreducible. In this paper the authors classify the triples of this form, where and is a disconnected almost simple positive-dimensional closed subgroup of acting irreducibly on . Moreover, by combining this result with earlier work, they complete the classification of the irreducible triples where is a simple algebraic group over , and is a maximal closed subgroup of positive dimension.


Irreducible Almost Simple Subgroups of Classical Algebraic Groups Related Books

Irreducible Almost Simple Subgroups of Classical Algebraic Groups
Language: en
Pages: 122
Authors: Timothy C. Burness
Categories: Mathematics
Type: BOOK - Published: 2015-06-26 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Let be a simple classical algebraic group over an algebraically closed field of characteristic with natural module . Let be a closed subgroup of and let be a no
Irreducible Geometric Subgroups of Classical Algebraic Groups
Language: en
Pages: 100
Authors: Timothy C. Burness,
Categories: Mathematics
Type: BOOK - Published: 2016-01-25 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Let be a simple classical algebraic group over an algebraically closed field of characteristic with natural module . Let be a closed subgroup of and let be a no
The Subgroup Structure of the Finite Classical Groups
Language: en
Pages: 317
Authors: Peter B. Kleidman
Categories: Mathematics
Type: BOOK - Published: 1990-04-26 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

With the classification of the finite simple groups complete, much work has gone into the study of maximal subgroups of almost simple groups. In this volume the
Algebraic Groups
Language: en
Pages: 665
Authors: J. S. Milne
Categories: Mathematics
Type: BOOK - Published: 2017-09-21 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.
Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras
Language: en
Pages: 394
Authors: Martin W. Liebeck
Categories: Mathematics
Type: BOOK - Published: 2012-01-25 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This book concerns the theory of unipotent elements in simple algebraic groups over algebraically closed or finite fields, and nilpotent elements in the corresp