Comparison and continuity of Wick-type star products on certain coadjoint orbits

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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.

OriginalsprogEngelsk
TidsskriftForum Mathematicum
Vol/bind31
Udgave nummer5
Sider (fra-til)1203–1223
ISSN0933-7741
DOI
StatusUdgivet - 2019

ID: 223823013