I tried to polish the "Idea" and the "References" section at [[Courant algebroid]] to something more comprehensive.

]]>made *curved L-infinity algebra* explicit

I have added explicit details to *super L-infinity algebra*.

Added a remark that the formal dual of this concept was introduced and made use of by supergravity theorists a full decade before plain $L_\infty$-algebras were considered by mathematicians.

(I am writing this material for inclusion in the more comprehensive lecture notes *geometry of physics – superalgebra* and *geometry of physics – fundamental super p-branes*.)

I finally realized that this ought to exist. And sure enough, it had been constructed already: the *4d supergravity Lie 2-algebra*-extension of the 4d $N = 2$ super-Poincaré super-Lie algebra. I have added a minimum of an Idea-section and pointers to the references.

Prompted by a question which I received, I went and tried to streamline the old entry *Lie infinity-algebroid representation* a little:

moved the pevious “Properties”-discussion of complexes of holomorphic bundles to the Examples-section;

added the example of $L_\infty$-algebra extensions

added more information to the References-section

cross-linked a bit more with infinity-action and with L-infinity algebra cohomology etc.

created *Poisson tensor* just for completeness, to be able to point to it from related entries.