Comparison and continuity of Wick-type star products on certain coadjoint orbits
Research output: Contribution to journal › Journal article › Research › peer-review
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.
Original language | English |
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Journal | Forum Mathematicum |
Volume | 31 |
Issue number | 5 |
Pages (from-to) | 1203–1223 |
ISSN | 0933-7741 |
DOIs | |
Publication status | Published - 2019 |
- coadjoint orbit, Star product
Research areas
Links
- https://arxiv.org/pdf/1809.07953.pdf
Accepted author manuscript
ID: 223823013