MATH 738 - Lie Algebras

(3 units)

Lie Algebras are fundamental objects in mathematics as well as in physics. This one-semester course gives a mathematically rigorous treatment of Lie Algebras, which leads to an advanced understanding of the subject. Writing mathematical proofs is required.

Maximum units a student may earn: 3

Prerequisite(s): MATH 735 with a “B” or better or MATH 731 with a “B” or better.

Grading Basis: Graded
Units of Lecture: 3
Offered: Every Spring - Even Years

Student Learning Outcomes
Upon completion of this course, students will be able to:
1. apply structural and classification results of Lie algebras to research problems in mathematics.
2. describe when Lie Algebras are applicable to research problems in mathematics such as matrix algebra, finite reflections groups, Lie groups, and geometry.
3. critically assess published results based on Lie algebras.

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