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.

I: Forum Mathematicum, Bind 31, Nr. 5, 2019, s. 1203–1223.

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Harvard

Esposito, C, Schmitt, P & Waldmann, S 2019, 'Comparison and continuity of Wick-type star products on certain coadjoint orbits', Forum Mathematicum, bind 31, nr. 5, s. 1203–1223. https://doi.org/10.1515/forum-2018-0302

APA

Esposito, C., Schmitt, P., & Waldmann, S. (2019). Comparison and continuity of Wick-type star products on certain coadjoint orbits. Forum Mathematicum, 31(5), 1203–1223. https://doi.org/10.1515/forum-2018-0302

Vancouver

Esposito C, Schmitt P, Waldmann S. Comparison and continuity of Wick-type star products on certain coadjoint orbits. Forum Mathematicum. 2019;31(5):1203–1223. https://doi.org/10.1515/forum-2018-0302

Author

Esposito, Chiara ; Schmitt, Philipp ; Waldmann, Stefan. / Comparison and continuity of Wick-type star products on certain coadjoint orbits. I: Forum Mathematicum. 2019 ; Bind 31, Nr. 5. s. 1203–1223.

Bibtex

@article{4ec4c9f213314722b4e2b8daaf260aca,
title = "Comparison and continuity of Wick-type star products on certain coadjoint orbits",
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{\'e}chet algebra.",
keywords = "coadjoint orbit, Star product",
author = "Chiara Esposito and Philipp Schmitt and Stefan Waldmann",
year = "2019",
doi = "10.1515/forum-2018-0302",
language = "English",
volume = "31",
pages = "1203–1223",
journal = "Forum Mathematicum",
issn = "0933-7741",
publisher = "Walterde Gruyter GmbH",
number = "5",

}

RIS

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