Wigner-Eckart theorem for tensor operators of graded Lie algebras

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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 languageEnglish (US)
Pages (from-to)453-455
Number of pages3
JournalJournal of Mathematical Physics
Volume18
Issue number3
DOIs
StatePublished - Jan 1 1976

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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