期刊论文详细信息
JOURNAL OF ALGEBRA | 卷:285 |
Smooth Lie groups over local fields of positive characteristic need not be analytic | |
Article | |
Glöckner, H | |
关键词: smooth Lie group; analytic Lie group; totally disconnected group; finite order differentiability; local field; positive characteristic; contractive automorphism; scale function; tidy subgroup; Willis theory; non-archimedian analysis; | |
DOI : 10.1016/j.jalgebra.2004.11.018 | |
来源: Elsevier | |
【 摘 要 】
We describe finite-dimensional smooth Lie groups over local fields of positive characteristic which do not admit an analytic Lie group structure compatible with the given topological group structure, and C-n-Lie groups without a compatible Cn+1-Lie group structure for each n greater than or equal to. 1. We also present examples of non-analytic, smooth automorphisms of analytic Lie groups over such fields, as well as C-n-automorphisms which fail to be Cn+1. (C) 2005 Elsevier Inc. All rights reserved.
【 授权许可】
Free
【 预 览 】
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10_1016_j_jalgebra_2004_11_018.pdf | 163KB | download |