Duality for K-analytic Group Cohomology of p-adic Lie Groups

被引:0
作者
Thomas, Oliver [1 ]
机构
[1] Univ Bahrain, Dept Math, POB 32038, Sukhair, Bahrain
关键词
analytic cohomology; duality;
D O I
10.5802/crmath.373
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a duality result for the analytic cohomology of Lie groups over non-archimedean fields acting on locally convex vector spaces by combining Tamme's non-archimedean van Est comparison mor-phism with Hazewinkel's duality result for Lie algebra cohomology.
引用
收藏
页码:1213 / 1226
页数:15
相关论文
共 16 条
[1]   MULTIVARIABLE (φ,Γ)-MODULES AND LOCALLY ANALYTIC VECTORS [J].
Berger, Laurent .
DUKE MATHEMATICAL JOURNAL, 2016, 165 (18) :3567-3595
[2]  
Bourbaki N., 1989, Elements of Mathematics. Lie Groups and Lie Algebras, Vsecond edn.
[3]  
Bourbaki N., 1967, VARIETES DIFFERENTIE
[4]  
Bourbaki N., 1998, Elements of mathematics. Algebra I
[5]   Finiteness theorems for the cohomology of an overconvergent isocrystal on a curve [J].
Crew, R .
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1998, 31 (06) :717-763
[7]  
Feaux de Lacroix C. T., Schriftenreihe des Mathematischen Instituts der Universitat M unster. 3. Serie, Heft 23, Schriftenreihe Math. Inst. Univ. Munster 3. Ser., V23
[8]  
Hazevinkel M., 1970, MAT SB N SER, V83, P639
[9]   Herr-complexes in the Lubin-Tate setting [J].
Kupferer, Benjamin ;
Venjakob, Otmar .
MATHEMATIKA, 2022, 68 (01) :74-147
[10]  
Lazard M., 1965, PUB MATH IHES, V26, P389