Vol. 9, No. 4, 2015

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ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
On an analytic version of Lazard's isomorphism

Georg Tamme

Vol. 9 (2015), No. 4, 937–956
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
Lazard isomorphism, locally analytic group cohomology, Lia algebra cohomology
Mathematical Subject Classification 2010
Primary: 22E50
Secondary: 17B56, 22E35
Milestones
Received: 9 September 2014
Revised: 17 February 2015
Accepted: 6 April 2015
Published: 30 May 2015
Authors
Georg Tamme
Fakultät für Mathematik
Universität Regensburg
D-93040 Regensburg
Germany