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9780486462882

Symmetries and Laplacians Introduction to Harmonic Analysis, Group Representations and Applications

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  • ISBN13:

    9780486462882

  • ISBN10:

    0486462889

  • Format: Paperback
  • Copyright: 2008-01-11
  • Publisher: Dover Publications

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Summary

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.

Table of Contents

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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