Book contents
- Frontmatter
- Contents
- Preface
- List of tables
- Notation
- PART I LINEAR ALGEBRAIC GROUPS
- PART II SUBGROUP STRUCTURE AND REPRESENTATION THEORY OF SEMISIMPLE ALGEBRAIC GROUPS
- 11 BN-pairs and Bruhat decomposition
- 12 Structure of parabolic subgroups, I
- 13 Subgroups of maximal rank
- 14 Centralizers and conjugacy classes
- 15 Representations of algebraic groups
- 16 Representation theory and maximal subgroups
- 17 Structure of parabolic subgroups, II
- 18 Maximal subgroups of classical type simple algebraic groups
- 19 Maximal subgroups of exceptional type algebraic groups
- 20 Exercises for Part II
- PART III FINITE GROUPS OF LIE TYPE
- Appendix A Root systems
- Appendix B Subsystems
- Appendix C Automorphisms of root systems
- References
- Index
12 - Structure of parabolic subgroups, I
from PART II - SUBGROUP STRUCTURE AND REPRESENTATION THEORY OF SEMISIMPLE ALGEBRAIC GROUPS
Published online by Cambridge University Press: 05 June 2012
Book contents
- Frontmatter
- Contents
- Preface
- List of tables
- Notation
- PART I LINEAR ALGEBRAIC GROUPS
- PART II SUBGROUP STRUCTURE AND REPRESENTATION THEORY OF SEMISIMPLE ALGEBRAIC GROUPS
- 11 BN-pairs and Bruhat decomposition
- 12 Structure of parabolic subgroups, I
- 13 Subgroups of maximal rank
- 14 Centralizers and conjugacy classes
- 15 Representations of algebraic groups
- 16 Representation theory and maximal subgroups
- 17 Structure of parabolic subgroups, II
- 18 Maximal subgroups of classical type simple algebraic groups
- 19 Maximal subgroups of exceptional type algebraic groups
- 20 Exercises for Part II
- PART III FINITE GROUPS OF LIE TYPE
- Appendix A Root systems
- Appendix B Subsystems
- Appendix C Automorphisms of root systems
- References
- Index
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Linear Algebraic Groups and Finite Groups of Lie Type , pp. 95 - 103Publisher: Cambridge University PressPrint publication year: 2011