Comparison and continuity of Wick-type star products on certain coadjoint orbits
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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.
Originalsprog | Engelsk |
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Tidsskrift | Forum Mathematicum |
Vol/bind | 31 |
Udgave nummer | 5 |
Sider (fra-til) | 1203–1223 |
ISSN | 0933-7741 |
DOI | |
Status | Udgivet - 2019 |
Links
- https://arxiv.org/pdf/1809.07953.pdf
Accepteret manuskript
ID: 223823013