Matrix elements for infinitesimal operators of the groups U(p+q) and U(p,q) in a U(p) ×U(q) basis. II

Abstract

The general expressions derived in Ref. 1 for the matrix elements of the infinitesimal operators of the groups U(p+q) and U(p,q) in a U(p) ×U(q) basis are utilized in this article to obtain explicit expressions for the matrix elements of the infinitesimal operators of (a) the degenerate series representations of U(p,q) in a U(p) ×U (q) basis, and (b) the representations of U(p+q) with highest weight (m₁,0, ..., 0, m₂) in a U(p) ×U(q) basis. The operator which unitarizes the U(p+q) representations considered is given in explicit form.