J. Aust. Math. Soc.  75 (2003), 263-277
Correspondences of the Gelfand invariants in reductive dual pairs

Minoru Itoh
  Department of Mathematics
  Faculty of Science
  Kyoto University
  Kyoto 606-8502

For each complex reductive dual pair introduced by R. Howe, this paper presents a formula for the central elements of the universal enveloping algebras given by I. M. Gelfand. This formula provides an explicit description of the correspondence between the `centers' of the two universal enveloping algebras.
Download the article in PDF format (size 138 Kb)

TeXAdel Scientific Publishing ©  Australian MS