Invariant *-products on coadjoint orbits and the Shapovalov pairing

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.

12 pages, AMS LaTex

References in corpus (1)

• A New Noncommutative Product on the Fuzzy Two-Sphere Corresponding to the Unitary Representation of SU(2) and the Seiberg-Witten Map

Cited by in corpus (1)

• Invariant star-products on S^2 and the canonical trace