Template:MATHS 783:Description
From MathsDept
Each of these courses (MATHS 781 - 784) deals with some special topic(s) from pure mathematics. Not all of them are offered every year; further information may be obtained from the Department of Mathematics.
This course can be taken either as a supervised reading paper or project or as a course on Lie Groups and Lie Algebras.
Lie Groups and Lie Algebras
This course on Lie Groups and Lie Algebras will be given by Dr. Tom ter Elst.
Symmetries and invariants play a fundamental role in mathematics. Especially important are symmetries that depend continuously on various parameters. These form Lie groups. Closely related are structures called Lie algebras. Historically these structures have played an absolutely pivotal role in many areas which range from the theory of differential equations, and their solutions, to the classification of elementary particles. Strongly recommended for students advancing in theoretical physics and pure mathematics.