(1) School of Mathematics and Statistics, University of Sydney, Sydney NSW 2006, Australia (e-mail: alexm@maths.usyd.edu.au) , AU;(2) Department of Mathematics, University of York, York YO1 5DD, England (e-mail: mln1@york.ac.uk) , GB
Abstract:
We extend the Capelli identity from the Lie algebra to the other classical Lie algebras and . We employ the theory of reductive dual pairs due to Howe.
Received: 12 February 1997 / in revised form: 24 July 1998