Comparison and continuity of Wick-type star products on certain coadjoint orbits
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Comparison and continuity of Wick-type star products on certain coadjoint orbits. / Esposito, Chiara; Schmitt, Philipp; Waldmann, Stefan.
In: Forum Mathematicum, Vol. 31, No. 5, 2019, p. 1203–1223.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Comparison and continuity of Wick-type star products on certain coadjoint orbits
AU - Esposito, Chiara
AU - Schmitt, Philipp
AU - Waldmann, Stefan
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
KW - coadjoint orbit
KW - Star product
UR - http://www.scopus.com/inward/record.url?scp=85067505824&partnerID=8YFLogxK
U2 - 10.1515/forum-2018-0302
DO - 10.1515/forum-2018-0302
M3 - Journal article
AN - SCOPUS:85067505824
VL - 31
SP - 1203
EP - 1223
JO - Forum Mathematicum
JF - Forum Mathematicum
SN - 0933-7741
IS - 5
ER -
ID: 223823013