Mathematics – Number Theory
Scientific paper
2009-04-24
Compositio Mathematica , Volume 147 (2011), pp 235 -262
Mathematics
Number Theory
Final version, to appear in Compositio Mathematica
Scientific paper
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.
Huber Annette
Kings Guido
Naumann Niko
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