Connes' tangent groupoid and strict quantization

 

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書目詳細資料
Autores: Cariñena Marzo, José F., Clemente Gallardo, Jesús, Follana, Eduardo, Gracia Bondía, José M., Rivero, Alejandro, Várilly Boyle, Joseph C.
格式: artículo original
Fecha de Publicación:1999
實物特徵: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.
País:Kérwá
機構:Universidad de Costa Rica
Repositorio:Kérwá
語言:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/87831
在線閱讀:https://www-sciencedirect-com/science/article/pii/S039304409800028X
https://hdl.handle.net/10669/87831
Palabra clave:geometría no conmutativa
grupoide tangente
cuantización de Moyal
MATEMÁTICAS