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arXiv · 1809.07953

Comparison and Continuity of Wick-type Star Products on certain coadjoint orbits

Chiara Esposito·Philipp Schmitt·Stefan Waldmann
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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 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 Fr\'echet algebra.

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Chiara Esposito, Philipp Schmitt, Stefan Waldmann. 2018-09-21. Comparison and Continuity of Wick-type Star Products on certain coadjoint orbits. https://doi.org/10.1515/forum-2018-0302

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