MATH 432 Lie Algebras (Q)

Last offered Spring 2014

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.
Class Format: lecture
Requirements/Evaluation: evaluation will be based primarily on homework assignments, exams, projects, and class participation
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Prerequisites: MATH 355 or 317 or permission of the instructor
Enrollment Preference: senior Math majors
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Divisional Attributes: Division III,Quantitative and Formal Reasoning
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Enrollment Limit: 40
Expected Enrollment: 20
Class Number: 3901
CLASSES ATTR INSTRUCTORS TIMES CLASS NUMBER
MATH 432 LEC Lie Algebras (Q) Division 3: Science and MathematicsQuantitative and Formal Reasoning Edward D. Hanson
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