# Conformally equivariant quantization and symbol maps associated with $n$-ary differential operators on weighted densities

@article{Boujelben2019ConformallyEQ, title={Conformally equivariant quantization and symbol maps associated with \$n\$-ary differential operators on weighted densities}, author={Jamel Boujelben and Taher Bichr and K. Tounsi}, journal={arXiv: Differential Geometry}, year={2019} }

We are interested in the study of the space of $n$-ary differential operators denoted by $\mathfrak{D}_{\underlinel,\mu}$ where $\underlinel=(l_{1},...,l_{n})$ acting on weighted densities from $\frak F_{l_1}\otimes\frak F_{l_2}\otimes...\otimes\frak F_{l_n}$ to $\frak F_{\mu}$ as a module over the orthosymplectic superalgebra $\mathfrak{osp}(1|2)$. As a consequence, we prove the existence and the uniqueness of a canonical conformally equivariant symbol map from $\mathfrak{D}_{\underline…

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