Book contents
- Frontmatter
- Contents
- Foreword
- Conventional notations and terminology
- PART I REPRESENTATIONS OF COMPACT GROUPS
- 1 Compact groups and Haar measures
- 2 Representations, general constructions
- 3 A geometrical application
- 4 Finite-dimensional representations of compact groups (Peter-Weyl theorem)
- 5 Decomposition of the regular representation
- 6 Convolution, Plancherel formula & Fourier inversion
- 7 Characters and group algebras
- 8 Induced representations and Frobenius-Weil reciprocity
- 9 Tannaka duality
- 10 Representations of the rotation group
- PART II REPRESENTATIONS OF LOCALLY COMPACT GROUPS
- Epilogue
- References
- Index
1 - Compact groups and Haar measures
Published online by Cambridge University Press: 20 March 2010
- Frontmatter
- Contents
- Foreword
- Conventional notations and terminology
- PART I REPRESENTATIONS OF COMPACT GROUPS
- 1 Compact groups and Haar measures
- 2 Representations, general constructions
- 3 A geometrical application
- 4 Finite-dimensional representations of compact groups (Peter-Weyl theorem)
- 5 Decomposition of the regular representation
- 6 Convolution, Plancherel formula & Fourier inversion
- 7 Characters and group algebras
- 8 Induced representations and Frobenius-Weil reciprocity
- 9 Tannaka duality
- 10 Representations of the rotation group
- PART II REPRESENTATIONS OF LOCALLY COMPACT GROUPS
- Epilogue
- References
- Index
Summary
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- Publisher: Cambridge University PressPrint publication year: 1983