NDLI: Some complements to the Lazard isomorphism

Content Provider	Scilit
Author	Huber, Annette Kings, Guido Naumann, Niko
Copyright Year	2010
Description	Journal: Compositio Mathematica Lazard showed in his seminal work (Groupes analytiques p-adiques, Publ. Math. Inst. Hautes Études Sci. 26 (1965), 389–603) that for rational coefficients, continuous group cohomology of p-adic Lie groups is isomorphic to Lie algebra cohomology. We refine this result in two directions: first, we extend Lazard’s isomorphism to integral coefficients under certain conditions; and second, we show that for algebraic groups over finite extensions $K/ℚ_{p}$, his isomorphism can be generalized to K-analytic cochains andK-Lie algebra cohomology.
Ending Page	262
Starting Page	235
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x10004884
Journal	Compositio Mathematica
Issue Number	1
Volume Number	147
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2010-06-22
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Lazard Isomorphism Cohomology of Lie Groups and Algebras Continuous Cohomology Number Theory Algebraic Group Group Cohomology Working Group Lie Group
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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Some complements to the Lazard isomorphism