Comparison and continuity of Wick-type star products on certain coadjoint orbits
Research output: Contribution to journal › Journal article › Research › peer-review
Chiara Esposito, Philipp Schmitt, Stefan Waldmann
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.
|Publication status||E-pub ahead of print - 2019|
- coadjoint orbit, Star product