• Z SAOUDI

      Articles written in Proceedings – Mathematical Sciences

    • Modules of $n$-ary differential operators over the orthosymplectic superalgebra $\mathscr{osp(1|2)}$

      T BICHR J BOUJELBEN Z SAOUDI K TOUNSI

      More Details Abstract Fulltext PDF

      We are interested in the study of the space of $n$-ary differential operators denoted by $\mathscr{D}_{\underline{\lambda},\mu}$ where $\underline{\lambda}=(\lambda_1, \ldots ,\lambda_n)$ is acting on weighted densities from $\mathsci{F}\lambda_1\otimes\mathsci{F}\lambda_2\otimes\cdots\otimes\mathsci{F}\lambda_n$ to $\mathsci{F}\mu$ as a module over the orthosymplectic superalgebra $\mathscr{osp(1|2)}$. As a consequence, we prove the existence and the uniqueness of a canonical conformally equivariant symbol map from $\mathscr{D}^k_{\lambda , \mu}$ to the corresponding space of symbols as well for the explicit expression of the associated quantization map.

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