Some complements to the Lazard isomorphism

DOI10.1112/S0010437X10004884zbMath1268.20051arXiv0904.3863OpenAlexW3105963224MaRDI QIDQ3077179

Niko Naumann, Guido Kings, Annette Huber-Klawitter

Publication date: 22 February 2011

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.3863

zbMATH Keywords

cohomology of Lie algebrascontinuous cohomologypro-\(p\)-groupssmooth group schemescompleted group ringscohomology of Lie groups\(p\)-valued groupsLazard isomorphismlocally analytic group cohomology

Mathematics Subject Classification ID

Homology and cohomology of Lie groups (57T10) Cohomology of Lie (super)algebras (17B56) Linear algebraic groups over local fields and their integers (20G25) Limits, profinite groups (20E18) Continuous cohomology of Lie groups (22E41)

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Comparison of Karoubi's regulator and the p-adic Borel regulator ⋮ \(SK_1\) and Lie algebras ⋮ Solid locally analytic representations of 𝑝-adic Lie groups ⋮ On locally analytic Beilinson-Bernstein localization and the canonical dimension ⋮ On the cohomology of integral p-adic unipotent radicals ⋮ A cohomological Tamagawa number formula ⋮ Syntomic complexes and \(p\)-adic nearby cycles ⋮ Koszul duality for Iwasawa algebras modulo 𝑝 ⋮ A vanishing result for higher smooth duals

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