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In this paper, the well-known Faulkner construction is revisited and adaptedto include the super case, which gives a bijective correspondence betweengeneralized Jordan (super)pairs and faithful Lie (super)algebra (super)modules,under certain constraints (bilinear forms with properties analogous to the onesof a Killing form are required, and only finite-dimensional objects areconsidered). We always assume that the base field has characteristic differentfrom $2$.  It is also proven that associated objects in this Faulkner correspondencehave isomorphic automorphism group schemes. Finally, this correspondence willbe used to transfer the construction of the tensor product to the class ofgeneralized Jordan (super)pairs with "good" bilinear forms.

On the Faulkner construction for generalized Jordan superpairs