### Abstract

An invariant functional, analog to the group integral associated with a Lie group, is defined for the graded Lie algebras. A sufficient condition for the vanishing of the group volume is given. Orthogonality relations of the matrix elements of the representations are obtained, and the Wigner-Eckart theorem is proved for a class of graded Lie algebras.

Original language | English (US) |
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Pages (from-to) | 453-455 |

Number of pages | 3 |

Journal | Journal of Mathematical Physics |

Volume | 18 |

Issue number | 3 |

DOIs | |

State | Published - Jan 1 1976 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics