----- 对称和拉普拉斯算子:谐波分析,组表示和应用简介
Basics of Representation Theory. Commutative Harmonic Analysis. Representations of Compact and Finite Groups. Lie Groups SU(2) and SO(3). Classical Compact Lie Groups and Algebras. The Heisenberg Group and Semidirect Products. Representations of SL 2 . Lie Groups and Hamiltonian Mechanics. Appendices: Spectral Decomposition of Selfadjoint Operators. Integral Operators. A Primer on Riemannian Geometry: Geodesics, Connection, Curvature. References. List of Frequently Used Notations. Index.
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