%0 Journal Article
%T Some complements to the Lazard isomorphism
%A Annette Huber
%A Guido Kings
%A Niko Naumann
%J Mathematics
%D 2009
%I arXiv
%R 10.1112/S0010437X10004884
%X Lazard showed in his seminal work "Groupes analytiques $p$-adiques" that for rational coefficients continuous group cohomology of $p$-adic Lie-groups is isomorphic to Lie-algebra cohomology. We refine this result in two directions: firstly we extend his isomorphism under certain conditions to integral coefficients and secondly, we show that for algebraic groups, his isomorphism can be realized by differentiating locally analytic cochains.
%U http://arxiv.org/abs/0904.3863v3