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(I’m still going through a backlog of old nForum posts.) I presume Jordan algebras are not algebras of a traditional permutative operad? Because if they were, then I’d wonder whether the Jordan superalgebras could be defined as algebras of such an operad, but valued in superspaces.
have adjusted the wording in the Idea-section (here):
by linking to supercommutative superalgebra the entry can omit the distraction of trying to recall this standard notion, freeing room for the important aspects, namely the “Lie like-product” and the “super Jordan identity” – maybe somebody wants to state these.
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