MATH 432
Lie Algebras
Last Offered Spring 2014
Division III
Quantitative/Formal Reasoning
This course is not offered in the current 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
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 or 317 or permission of the instructor
Enrollment Preferences:
senior Math majors
Distributions:
Division III
Quantitative/Formal Reasoning
Class Grid
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MATH 432 - LEC Lie Algebras
MATH 432 LEC Lie AlgebrasDivision III Quantitative/Formal ReasoningNot offered
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