Book contents
- Frontmatter
- Contents
- Preface
- 1 The linear group
- 2 The exponential map
- 3 Linear Lie groups
- 4 Lie algebras
- 5 Haar measure
- 6 Representations of compact groups
- 7 The groups SU(2) and SO(3), Haar measures and irreducible representations
- 8 Analysis on the group SU(2)
- 9 Analysis on the sphere and the Euclidean space
- 10 Analysis on the spaces of symmetric and Hermitian matrices
- 11 Irreducible representations of the unitary group
- 12 Analysis on the unitary group
- Bibliography
- Index
1 - The linear group
Published online by Cambridge University Press: 29 May 2010
Book contents
- Frontmatter
- Contents
- Preface
- 1 The linear group
- 2 The exponential map
- 3 Linear Lie groups
- 4 Lie algebras
- 5 Haar measure
- 6 Representations of compact groups
- 7 The groups SU(2) and SO(3), Haar measures and irreducible representations
- 8 Analysis on the group SU(2)
- 9 Analysis on the sphere and the Euclidean space
- 10 Analysis on the spaces of symmetric and Hermitian matrices
- 11 Irreducible representations of the unitary group
- 12 Analysis on the unitary group
- Bibliography
- Index
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- Analysis on Lie GroupsAn Introduction, pp. 1 - 17Publisher: Cambridge University PressPrint publication year: 2008