## Classical Groups for Physicists |

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### Contents

Groups Composed of Regular Matrices | 7 |

Local Properties of Lie Groups | 17 |

6 | 56 |

Copyright | |

8 other sections not shown

### Common terms and phrases

additional application arbitrary associated basic basis calculation Casimir operator classification closed commutation compact complex components connected consider construct contains continuous corresponding coupling coefficients covering defined determined diagram dimension discrete eigenvalues equation establish Euclidean evaluation example EXERCISES expressed finite follows functions give given group G hence hydrogen atom identity important infinite infinitesimal operators integers introduced invariant involving irreducible representation isomorphic isoscalar factors known Kronecker product labeled Lie algebra Lie group linear matrix elements methods multiplication neighborhood noncompact normalization obtain orthogonal parameters particular path phase positive possible problem properties quantum readily realization relations requires respect result root vectors roots rotation rules S-functions satisfy semisimple Lie shell Show shown simple simple roots spectrum structure subalgebra subgroup symmetric Table tensor operator theorem theory tions topological space transformation values weight write