Connes' tangent groupoid and strict quantization

 

保存先:
書誌詳細
著者: Cariñena Marzo, José F., Clemente Gallardo, Jesús, Follana, Eduardo, Gracia Bondía, José M., Rivero, Alejandro, Várilly Boyle, Joseph C.
フォーマット: artículo original
出版日付:1999
その他の書誌記述:We address one of the open problems in quantization theory recently listed by Rieffel. By developing in detail Connes' tangent groupoid principle and using previous work by Landsman, we show how to construct a strict flabby quantization, which is moreover an asymptotic morphism and satisfies the reality and traciality constraints, on any oriented Riemannian manifold. That construction generalizes the standard Moyal rule. The paper can be considered as an introduction to quantization theory from Connes' point of view.
国:Kérwá
機関:Universidad de Costa Rica
Repositorio:Kérwá
言語:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/87831
オンライン・アクセス:https://www-sciencedirect-com/science/article/pii/S039304409800028X
https://hdl.handle.net/10669/87831
キーワード:geometría no conmutativa
grupoide tangente
cuantización de Moyal
MATEMÁTICAS