added the remark (here) that, with hindsight, an early example of an adjusted Weil algebra appears in

- Leonardo Castellani, Riccardo D’Auria, Pietro Fré, vol 2, III (8.24) of:
*Supergravity and Superstrings - A Geometric Perspective*, World Scientific (1991) [doi:10.1142/0224, epdf]

(This observation has been a comment at *supergravity Lie 6-algebra* since its revision 8 in 2011, there referred to as “modified Weil algebra”, long before the terminology “adjusted Weil algebra” was proposed and took over).

added pointer to today’s:

- Hyungrok Kim, Christian Saemann,
*T-duality as Correspondences of Categorified Principal Bundles with Adjusted Connections*[arXiv:2303.16162]

to the first five reference items I added explicit pointer to definition/page number where the “adjustment” is considered

]]>Nice. I can’t check anymore if you’d sent that to me at the time (access to old email addresses is patchy), but it’s vaguely familiar.

]]>uploaded and added pointer to my original hand-drawing of the construction of principal infinity-connections via what has now come to be called “adjusted Weil algebras”

- Urs Schreiber,
*Obstructions to $n$-Bundle Lifts Part II*(Oct 2007) [bottom right corner in this hand-drawn diagram: pdf]

Am splitting this off from *Weil algebra* – for the moment just in order to record some pointers related to the notion called “adjusted Weil algebras” (for $L_\infty$-algebras) in

- Christian Saemann, Lennart Schmidt,
*Towards an M5-Brane Model II: Metric String Structures*, Fortschr. Phys.**68**(2020) 2000051 [arXiv:1908.08086, doi:10.1002/prop.202000051]

and followups.

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