Natural and Projectively Equivariant Quantizations by Means of Cartan Connections
نویسنده
چکیده
The existence of a natural and projectively equivariant quantization in the sense of Lecomte [20] was proved recently by M. Bordemann [4], using the framework of Thomas-Whitehead connections. We give a new proof of existence using the notion of Cartan projective connections and we obtain an explicit formula in terms of these connections. Our method yields the existence of a projectively equivariant quantization if and only if an sl(m+1,R)-equivariant quantization exists in the flat situation in the sense of [18], thus solving one of the problems left open by M. Bordemann. Mathematics Subject Classification (2000) : 53B05, 53B10, 53D50, 53C10.
منابع مشابه
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