Comparison and continuity of Wick-type star products on certain coadjoint orbits
-
Chiara Esposito
,
Philipp Schmitt
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 Fréchet algebra.
Funding source: Danmarks Grundforskningsfond
Award Identifier / Grant number: DNRF92
Funding statement: The second author is supported by the Danish National Research Foundation through the Centre for Symmetry and Deformation (DNRF92).
Acknowledgements
We would like thank Matthias Schötz for valuable discussions. Moreover, we would like to thank the referee for valuable remarks and suggestions.
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Selberg integral over local fields
- On conjugation orbits of semisimple pairs in rank one
- On a topology property for the moduli space of Kapustin–Witten equations
- Differentiability of the evolution map and Mackey continuity
- A prime geodesic theorem for SL3(ℤ)
- Comparison and continuity of Wick-type star products on certain coadjoint orbits
- A construction of residues of Eisenstein series and related square-integrable classes in the cohomology of arithmetic groups of low k-rank
- Linear invariance of intersections on unitary Rapoport–Zink spaces
- Maximal subalgebras of finite-dimensional algebras
- A universal enveloping algebra for cocommutative rack bialgebras
- A rank rigidity result for CAT(0) spaces with one-dimensional Tits boundaries
- Projective objects in the category of pointwise finite dimensional representations of an interval finite quiver
Artikel in diesem Heft
- Frontmatter
- Selberg integral over local fields
- On conjugation orbits of semisimple pairs in rank one
- On a topology property for the moduli space of Kapustin–Witten equations
- Differentiability of the evolution map and Mackey continuity
- A prime geodesic theorem for SL3(ℤ)
- Comparison and continuity of Wick-type star products on certain coadjoint orbits
- A construction of residues of Eisenstein series and related square-integrable classes in the cohomology of arithmetic groups of low k-rank
- Linear invariance of intersections on unitary Rapoport–Zink spaces
- Maximal subalgebras of finite-dimensional algebras
- A universal enveloping algebra for cocommutative rack bialgebras
- A rank rigidity result for CAT(0) spaces with one-dimensional Tits boundaries
- Projective objects in the category of pointwise finite dimensional representations of an interval finite quiver
