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On an analytic version of Lazard's isomorphism

Published 19 Aug 2014 in math.NT, math.GR, and math.RT | (1408.4301v2)

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.

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