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added pointer to this proposal for understanding tensor hierarchies as L-infinity algebra-refinenents of Leibniz algebras:
I have started to make a note (here) on the “universal super Lie algebra on a vector space” that Jakob Palmkvist highlights on p. 8 of arXiv:1305.0018 (and more readably on p. 8-9 of arXiv:1907.05752), attributed there to an article from 1970 by I. L. Kantor (which I can’t find).
I have tried to write out a proof of the super-Jacobi identity here, but after some tedious typersetting of the would-be induction step, I find that the the actual induction argument (over the three degrees of the three elements involved in the Jacobi identity) is tricky. Or maybe I am too tired now. And maybe there is a much simpler argument. (?)
Added pointer to the proposal for understanding tensor hierarchies via higher gauge theory with adjusted Weil algebras:
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