MATH 432
Lie Algebras Spring 2014
Division III Quantitative/Formal Reasoning
This is not the current course catalog

Class Details

A Lie algebra is a vector space endowed with a multiplication operation known as a bracket. They have applications to a wide variety of mathematical fields such as geometry, representation theory, combinatorics, and mathematical physics. This course will cover the basic theory of Lie algebras, including solvable and nilpotent Lie algebras, Cartan subalgebras, the Killing form, root systems, the Weyl group, Dynkin diagrams, and Cartan matrices. Special attention will be paid to examples that highlight the importance of Lie algebras in modern mathematics.
The Class: Format: lecture
Limit: 40
Expected: 20
Class#: 3901
Grading: yes pass/fail option, yes fifth course option
Requirements/Evaluation: evaluation will be based primarily on homework assignments, exams, projects, and class participation
Prerequisites: MATH 355 (formerly 312) or 317 or permission of the instructor
Enrollment Preferences: senior Math majors
Distributions: Division III Quantitative/Formal Reasoning

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