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

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

  • 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.

TidsskriftForum Mathematicum
Udgave nummer5
Sider (fra-til)1203–1223
StatusUdgivet - 2019


ID: 223823013