Character States and Generator Matrix Elements for $Sp(4)\supset SU(2)\times U(1)$

Abstract

A new set of polynomial states (to be called character states) are derived for $Sp(4)$ reduced to its $SU(2)\times U(1)$ subgroup, and the relevant generator matrix elements are evaluated. The group--subgroup in question is that of the seniority model of nuclear physics.

Comments: Latex, 17 pages, one figure using epsf, to appear in the volume commemorating the 25th anniversary of the Centre de Recherches Mathematiques, Universite de Montreal