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Mar 9, 2021 at 11:44 vote accept Praphulla Koushik
Mar 7, 2021 at 2:12 comment added David Roberts @PraphullaKoushik done
Mar 6, 2021 at 12:42 comment added Praphulla Koushik @DavidRoberts do you want to make that as an answer adding some more details?
Mar 6, 2021 at 7:17 comment added David Roberts Loday's paper cites an older paper of his on crossed modules of groups, so that thread doesn't go back further. The 1960 paper Analytic group kernels and Lie algebra kernels by Macauley (cited by Mackenzie) almost defines a crossed module, since it takes some of the theory from Eileberg and Mac Lane where they use "abstract kernels", secretly related to crossed modules, and develops it in the case of analytic groups (pretty much just Lie groups, really)
Mar 6, 2021 at 6:59 history edited David Roberts CC BY-SA 4.0
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Mar 6, 2021 at 2:42 comment added Dmitri Pavlov @PraphullaKoushik: No references to prior sources is given for the definition, which means it was likely introduced in that paper.
Mar 6, 2021 at 2:39 history edited Dmitri Pavlov CC BY-SA 4.0
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Mar 6, 2021 at 2:22 comment added Praphulla Koushik Thank you. How can we be sure that he introduced it. I do not see any paper before the one by Mackenzie that talks about Lie crossed module.
Mar 6, 2021 at 1:21 history answered Dmitri Pavlov CC BY-SA 4.0