This introductory text, based largely on examples and applications of general theory, covers commutative harmonic analysis, compact and finite groups, Lie groups, and the Heisenberg group and semidirect products. 1992 edition.
This introductory text, based largely on examples and applications of general theory, covers commutative harmonic analysis, compact and finite groups, Lie groups, and the Heisenberg group and semidirect products. 1992 edition.
Introduction 1. Basics of representation theory 2. Commutative Harmonic analysis 3. Representations of compact and finite groups 4. Lie groups SU(2) and SO(3) 5. Classical compact Lie groups and algebras 6. The Heisenberg group and semidirect products 7. Representations of SL2 8. Lie groups and hamiltonian mechanics Appendices: Spectral decomposition of selfadjoint operators; integral operators; a primer on Riemannian geometry References List of frequently used notations Index
Introduction 1. Basics of representation theory 2. Commutative Harmonic analysis 3. Representations of compact and finite groups 4. Lie groups SU(2) and SO(3) 5. Classical compact Lie groups and algebras 6. The Heisenberg group and semidirect products 7. Representations of SL2 8. Lie groups and hamiltonian mechanics Appendices: Spectral decomposition of selfadjoint operators; integral operators; a primer on Riemannian geometry References List of frequently used notations Index
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