Vol. 9, No. 4, 2015

Download this article
Download this article For screen
For printing
Recent Issues

Volume 10
Issue 9, 1845–2052
Issue 8, 1601–1843
Issue 7, 1373–1600
Issue 6, 1147–1371
Issue 5, 939–1146
Issue 4, 695–938
Issue 3, 451–694
Issue 2, 215–450
Issue 1, 1–214

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
Cover
Editorial Board
Editors' Addresses
Editors' Interests
About the Journal
Scientific Advantages
Submission Guidelines
Submission Form
Subscriptions
Editorial Login
Contacts
Author Index
To Appear
 
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