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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics