Book contents
- Frontmatter
- Contents
- Foreword
- Lie Algebras and Root Systems
- Lie Groups
- Linear Algebraic Groups
- Preface
- Introduction
- 1 Affine algebraic varieties
- 2 Linear algebraic groups: definition and elementary properties
- 3 Projective algebraic varieties
- 4 Tangent spaces. Separability
- 5 The Lie algebra of a linear algebraic group
- 6 Homogeneous spaces and quotients
- 7 Borel subgroups and maximal tori
- 8 The root structure of a linear algebraic group
- Notes and references
- Bibliography
- Index
2 - Linear algebraic groups: definition and elementary properties
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Foreword
- Lie Algebras and Root Systems
- Lie Groups
- Linear Algebraic Groups
- Preface
- Introduction
- 1 Affine algebraic varieties
- 2 Linear algebraic groups: definition and elementary properties
- 3 Projective algebraic varieties
- 4 Tangent spaces. Separability
- 5 The Lie algebra of a linear algebraic group
- 6 Homogeneous spaces and quotients
- 7 Borel subgroups and maximal tori
- 8 The root structure of a linear algebraic group
- Notes and references
- Bibliography
- Index
Summary
- Type
- Chapter
- Information
- Lectures on Lie Groups and Lie Algebras , pp. 146 - 156Publisher: Cambridge University PressPrint publication year: 1995