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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… Click to show full abstract
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.
Keywords:
coadjoint orbits;
continuity;
star products;
type star;
wick type;
star
Journal Title: Forum Mathematicum
Year Published: 2019
Link to full text (if available)
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Journal Title: Forum Mathematicum
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!