It's not in Lua, but there's some work to push data from arbitrary-access wikidata through the existing Authority Control template at
https://www.wikidata.org/wiki/Template:Authority_control/wrapper

Despite all the red ink when called without an argument, it does pretty much work -- see eg
https://www.wikidata.org/wiki/Template:Creator/wrapper/test
https://www.wikidata.org/wiki/Template:Institution/wrapper/test
for a couple of test-pages.

Some Wikipedias and Wikisources already use a Lua module for Authority Control template. Using it also in Commons may be interesting: https://en.wikipedia.org/wiki/Module:Authority_control

It would preferably be possible for this to just magically work on Institution and Creator pages that already supply the wikidata parameter to the respective template, whether they explicitly invoke {{authority control}} or not. Is that a thing that can be done?

In T89598#1219761, @SamB wrote:

It would preferably be possible for this to just magically work on Institution and Creator pages that already supply the wikidata parameter to the respective template, whether they explicitly invoke {{authority control}} or not. Is that a thing that can be done?

That would need T49930.

Another way could be to use a module made to work in any wiki, even central, in several or all languages.
We could use, or extract, only the function p.notice(frame) of https://fr.wikisource.org/wiki/Module:Author3
Living example:
https://fr.wikisource.org/wiki/Auteur:Nelson_Mandela

This would be a good "Google-Code-In-2015" project and I can volunteer to mentor (as in https://www.mediawiki.org/wiki/Google_Code-in_2015#Mentors.27_corner) whoever might try it. I think ideally we would reuse as much of existing LUA code as possible , but we would have to add:

1. Internationalization of a lot of text so it shows up in the language of the viewer
2. "bare" option used by Creator and Institution templates
3. Initially it would not rely on wikidata stored parameters but when at some point we get arbitrary access to wikidata on Commons than we should be able to switch to using wikidata values when present.

https://codein.withgoogle.com/dashboard/tasks/6375953173315584/

Waiting for update. Thanks.

In T89598#2137036, @Yann wrote:

Waiting for update. Thanks.

@Yann: From who? About what? If you have specific questions, please ask them. Thanks!

In T89598#2137036, @Yann wrote:

Waiting for update. Thanks.

You can already start working on this. Only when arbitrary access is enabled the full functionality becomes available.