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Lie Algebras by Fulton B. Gonzalez

By Gonzalez, Fulton B.

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Book Id: WPLBN0003761752
Format Type: PDF eBook :
File Size:
Reproduction Date: 2015

Title: Lie Algebras by Fulton B. Gonzalez  
Author: Gonzalez, Fulton B.
Language: English
Subject: Programming, Mathematics, Topology
Collections: Technical Books Center
Publication Date:
Publisher: Technical Books Center


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Gonzalez, F. B. (2007). Lie Algebras by Fulton B. Gonzalez. Retrieved from

Description: This note covers the following topics: Background Linear Algebra, Lie Algebras: Definition and Basic Properties, Solvable Lie Algebras and Lie s Theorem, Nilpotent Lie Algebras and Engel s Theorem, Cartan s Criteria for Solvability and Semisimplicity, Semisimple Lie Algebras, root Space Decompositions, Classical Simple Complex Lie Algebras.

Table of Contents
TOC: Background Linear Algebra - Lie Algebras: Definition and Basic Properties - Basic Algebraic Facts - Solvable Lie Algebras and Lie’s Theorem - Nilpotent Lie Algebras and Engel’s Theorem - Cartan’s Criteria for Solvability and Semisimplicity - Semisimple Lie Algebras: Basic Structure and Representations - Root Space Decompositions - The Classical Simple Complex Lie Algebras - Root Systems - Uniqueness Questions and the Weyl Group.


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