Comparison and Continuity of Wick-type Star Products on certain coadjoint orbits
arXiv:1809.07953 · doi:10.1515/forum-2018-0302
Abstract
In this paper we discuss continuity properties of the Wick-type star product on the 2-sphere, interpreted as a coadjoint orbit. Star products on coadjoint orbits in general have been constructed by different techniques. We compare the constructions of Alekseev-Lachowska and Karabegov and we prove that they agree in general. In the case of the 2-sphere we establish the continuity of the star product, thereby allowing for a completion to a Fréchet algebra.
26 pages. Comments are welcome!