Huber, Annette and Kings, Guido and Naumann, Niko (2011) Some complements to the Lazard isomorphism. COMPOSITIO MATHEMATICA, 147 (1). pp. 235-262. ISSN 0010-437X,
Full text not available from this repository. (Request a copy)Abstract
Lazard showed in his seminal work (Groupes analytiques p-adiques, Publ. Math. Inst. Hautes Etudes Sci. 26 (1965), 389-603) that for rational coefficients, continuous group cohomology of p-ache 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 and K-Lie algebra cohomology.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; Lazard isomorphism; continuous cohomology; cohomology of Lie groups and algebras |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Guido Kings Mathematics > Prof. Dr. Niko Naumann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Jun 2020 06:22 |
| Last Modified: | 29 Jun 2020 06:22 |
| URI: | https://pred.uni-regensburg.de/id/eprint/21448 |
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