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In the note Lie 2-Algebras and the Geometry of Gerbes https://math.ucr.edu/home/baez/namboodiri/stevenson_maclane.pdf by Danny Stevenson, I came across the notion of "Higher Lie Schreier Theory". But this note had been written around 2006. I am interested to know the current status of Higher Lie Schreier Theory. It would be of great help if someone can provide some recent literature in this direction.
The only thing I've seen on the subject is this video https://youtu.be/I7f2iJB52vo
Maybe itll help you find more resources
@Emilio Minichiello Thanks a lot.