English

On an analytic version of Lazard's isomorphism

Number Theory 2015-06-04 v2 Group Theory Representation Theory

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.

Keywords

Cite

@article{arxiv.1408.4301,
  title  = {On an analytic version of Lazard's isomorphism},
  author = {Georg Tamme},
  journal= {arXiv preprint arXiv:1408.4301},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-22T05:33:18.464Z