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Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications by David Gurarie ISBN: 0486462889 Dover Publications Price: $24.95 click here to see this book This introductory text examines concepts, ideas, results, and techniques related to symmetry groups and Laplacians. Its exposition is based largely on examples and applications of general theory. Topics include commutative harmonic analysis, representations of compact and finite groups, Lie groups, and the Heisenberg group and semidirect products. 1992 edition. Reprint of the North-Holland, Amsterdam, 1992 edition. Table of Contents for Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications 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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