## De Sitter and conformal groups and their applications |

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### Contents

INTRODUCTION TO DE SITTER AND CONFORMAL GROUPS | 3 |

ONEPARAMETER SUBGROUPS OF THE CONFORMAL GROUP | 31 |

041 | 53 |

Copyright | |

14 other sections not shown

### Common terms and phrases

A. O. Barut amplitude analytic continuation angular momentum automorphisms boson canonical Casimir operator coefficients commutation relations condition conformal group conformal invariance consider constant coordinates corresponding coset cosh covering group decomposition defined denote determined dimensional Dirac representation direct sum discrete dynamical group eigenvalue energy equation expansion field theory finite geometry hadron hermitean hermitean operators identity component induced representations integral interaction invariant subspaces IR's irreducible representations isomorphic labels Lagrangian Lie algebra linear Lorentz group Math matrix elements mesons metric non-compact Nuovo Cimento obtain orthogonal P. A. M. Dirac parameters Phys physical Poincare group preprint quantum numbers reduction relativistic renormalization repre representation space respect restricted scalar scale invariance scattering Section sentation sinh Sitter and Conformal Sitter group space-time spinor basis subgroup symmetry group Symposium tations tensor theorem tion tPresented UIR's unitary representations University of Colorado vector