Obstructions for twist star products

In this short note, we point out that not every star product is induced by a Drinfel’d twist by showing that not every Poisson structure is induced by a classical r -matrix. Examples include the higher genus symplectic Pretzel surfaces and the symplectic sphere S 2 .

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Letters in mathematical physics 2018-05, Vol.108 (5), p.1341-1350
Hauptverfasser:	Bieliavsky, Pierre, Esposito, Chiara, Waldmann, Stefan, Weber, Thomas
Format:	Artikel
Sprache:	eng
Schlagworte:	Complex Systems Geometry Group Theory and Generalizations Mathematical and Computational Physics Obstructions Physics Physics and Astronomy Theoretical
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	In this short note, we point out that not every star product is induced by a Drinfel’d twist by showing that not every Poisson structure is induced by a classical r -matrix. Examples include the higher genus symplectic Pretzel surfaces and the symplectic sphere S 2 .
ISSN:	0377-9017 1573-0530
DOI:	10.1007/s11005-017-1034-z