Some complements to the Lazard isomorphism
Number Theory
2019-02-20 v3
Abstract
Lazard showed in his seminal work "Groupes analytiques -adiques" that for rational coefficients continuous group cohomology of -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.
Cite
@article{arxiv.0904.3863,
title = {Some complements to the Lazard isomorphism},
author = {Annette Huber and Guido Kings and Niko Naumann},
journal= {arXiv preprint arXiv:0904.3863},
year = {2019}
}
Comments
Final version, to appear in Compositio Mathematica