Ebook: Lie Algebras and Locally Compact Groups
Author: Irving Kaplansky
- Genre: Mathematics
- Tags: Reference, Almanacs & Yearbooks, Atlases & Maps, Careers, Catalogs & Directories, Consumer Guides, Dictionaries & Thesauruses, Encyclopedias & Subject Guides, English as a Second Language, Etiquette, Foreign Language Study & Reference, Genealogy, Quotations, Survival & Emergency Preparedness, Test Preparation, Words Language & Grammar, Writing Research & Publishing Guides, Topology, Geometry & Topology, Mathematics, Science & Math, Mathematics, Algebra & Trigonometry, Calculus, Geometry, Statistics, Science & Mathemati
- Series: Chicago Lectures in Mathematics
- Year: 1995
- Publisher: University Of Chicago Press
- Edition: Reprint
- Language: English
- djvu
This volume presents lecture notes based on the author's courses on Lie algebras and the solution of Hilbert's fifth problem. In chapter 1, "Lie Algebras," the structure theory of semi-simple Lie algebras in characteristic zero is presented, following the ideas of Killing and Cartan. Chapter 2, "The Structure of Locally Compact Groups," deals with the solution of Hilbert's fifth problem given by Gleason, Montgomery, and Zipplin in 1952.
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