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Peter Schneider

p-Adic Lie Groups Hardcover Book

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At a Glance
Comprehensive p-Adic Analysis Guide
Advanced Lie Groups Theory
Hardcover 268-Page Reference
Springer Nature Published
Graduate-Level Mathematical Text
Description

Introduction. Part A pAdic Analysis and Lie Groups. I.Foundations. I.1.Ultrametric Spaces. I.2.Nonarchimedean Fields. I.3.Convergent Series. I.4.Differentiability. I.5.Power Series. I.6.Locally Analytic Functions. II.Manifolds. II.7.Charts and Atlases. II.8.Manifolds. II.9.The Tangent Space. II.10.The Topological Vector Space C^an(M,E), part 1. II.11 Locally Convex KVector Spaces. II.12 The Topological Vector Space C^an(M,E), part 2. III.Lie Groups. III.13.Definitions and Foundations. III.14.The Universal Enveloping Algebra. III.15.The Concept of Free Algebras. III.16.The CampbellHausdorff Formula. III.17.The Convergence of the Hausdorff Series. III.18.Formal Group Laws. Part BThe Algebraic Theory of pAdic Lie Groups. IV.Preliminaries. IV.19.Completed Group Rings. IV.20.The Example of the Group Z^dp. IV.21.Continuous Distributions. IV.22.Appendix Pseudocompact Rings. V.pValued PropGroups. V.23.pValuations. V.24.The free Group on two Generators. V.25.The Operator P. V.26.Finite Rank PropGroups. V.27.Compact pAdic Lie Groups. VI.Completed Group Rings of pValued Groups. VI.28.The Ring Filtration. VI.29.Analyticity. VI.30.Saturation. VII.The Lie Algebra. VII.31.A Normed Lie Algebra. VII.32.The Hausdorff Series. VII.33.Rational pValuations and Applications. VII.34.Coordinates of the First and of the Second Kind. References. Index.

SKU: M9783642211461
Product Details & Care

Binding: Hardcover;268 pages; Publisher: Springer Nature B.V.; Classification: N/A; Weight: 673.84 g; Dimensions: N/A

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