JournalscmhVol. 80 , No. 4DOI 10.4171/cmh/35

Invariant *-products on coadjoint orbits and the Shapovalov pairing

  • Anton Alekseev

    Université de Genève, Switzerland
  • A. Lachowska

    Ecole Polytechnique Fédérale de Lausanne, Switzerland
Invariant *-products on coadjoint orbits and the Shapovalov pairing cover

Abstract

We give an explicit formula for invariant *-products on a wide class of coadjoint orbits. The answer is expressed in terms of the Shapovalov pairing for generalized Verma modules.