The Duality Correspondence of Infinitesimal Characters

In   this  paper  we  determine  the  correspondence  of  infinitesimal  characters of  representations  which  occur  in  Howe's  Correspondence.   In  the  appendix  we identify  the  lowest  K-types,  in  the  sense  of  Vogan,  of  the  unitary  highest weight  representations  of  real  reductive  dual  pairs  with  at  least  one  member compact. This  paper  is  a  part  of  the  author's  doctoral  thesis research (1987), however the publication was postponed for various reasons.

Appeared in Coll. Math.70, 93--102 (1996)