Every simple quasifinite module of the contact superconformal algebra with N≠4 odd variables is a highest or lowest weight module or a quotient of a tensor module built from a finite-dimensional so_N module.
Classification of simple strong Harish-Chandra modules over the Lie superalgebra of vector fields on $\C^{m|n}$
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In this paper, we classify simple strong Harish-Chandra modules over the Lie superalgebra $W_{m,n}$ of vector fields on $\C^{m|n}$. Any such module is the unique simple submodule of some tensor module $F(P,V)$ for a simple weight module $P$ over the Weyl superalgebra $\mathcal K_{m,n}$ and a simple weight module $V$ over the general linear superalgebra $\gl_{m,n}$.
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Classification of simple quasifinite modules for contact superconformal algebras with $N\ne4$
Every simple quasifinite module of the contact superconformal algebra with N≠4 odd variables is a highest or lowest weight module or a quotient of a tensor module built from a finite-dimensional so_N module.