On an analytic version of Lazard's isomorphism

Abstract

We prove a comparison theorem between locally analytic group cohomology and Lie algebra cohomology for locally analytic representations of a Lie group over a nonarchimedean field of characteristic 0. The proof is similar to that of van-Est's isomorphism and uses only a minimum of functional analysis.

v1: 15 pages, v2: 17 pages, final version to appear in Algebra & Number Theory

References in corpus (1)

• Some complements to the Lazard isomorphism

Cited by in corpus (1)

• Cohomology of $(\phi ,\tau )$-modules