| 书目名称 | p-Adic Lie Groups |
| 编辑 | Peter Schneider |
| 视频video | |
| 概述 | First textbook with detailed exposition of Lazard‘s algebraic approach to compact p-adic Lie groups.Treats p-adic analysis in geometric language.Includes a chapter on locally convex topology on spaces |
| 丛书名称 | Grundlehren der mathematischen Wissenschaften |
| 图书封面 |  |
| 描述 | Manifolds over complete nonarchimedean fields together with notions like tangent spaces and vector fields form a convenient geometric language to express the basic formalism of p-adic analysis. The volume starts with a self-contained and detailed introduction to this language. This includes the discussion of spaces of locally analytic functions as topological vector spaces, important for applications in representation theory. The author then sets up the analytic foundations of the theory of p-adic Lie groups and develops the relation between p-adic Lie groups and their Lie algebras. The second part of the book contains, for the first time in a textbook, a detailed exposition of Lazard‘s algebraic approach to compact p-adic Lie groups, via his notion of a p-valuation, together with its application to the structure of completed group rings. |
| 出版日期 | Book 2011 |
| 关键词 | 22E20, 16S34; Lie group; completed group ring; locally analytic manifold; p-adic; p-valuation |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-21147-8 |
| isbn_softcover | 978-3-642-26866-3 |
| isbn_ebook | 978-3-642-21147-8Series ISSN 0072-7830 Series E-ISSN 2196-9701 |
| issn_series | 0072-7830 |
| copyright | Springer-Verlag Berlin Heidelberg 2011 |
发表于 2025-3-21 18:21:04
