Abstract
Lazard showed in his seminal work (Groupes analytiques p-adiques, Publ. Math. Inst. Hautes Etudes Sci. 26 (1965), 389-603) that for rational coefficients, continuous group cohomology of p-ache Lie groups is isomorphic to Lie algebra cohomology. We refine this result in two directions: first, we extend Lazard's isomorphism to integral coefficients under certain conditions; and second, we show that ...
Abstract
Lazard showed in his seminal work (Groupes analytiques p-adiques, Publ. Math. Inst. Hautes Etudes Sci. 26 (1965), 389-603) that for rational coefficients, continuous group cohomology of p-ache Lie groups is isomorphic to Lie algebra cohomology. We refine this result in two directions: first, we extend Lazard's isomorphism to integral coefficients under certain conditions; and second, we show that for algebraic groups over finite extensions K/Q(p), his isomorphism can be generalized to K-analytic cochains and K-Lie algebra cohomology.
Altmetric