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Lie Groups and Lie Algebras
Lie groups are an essential tool in many areas of mathematics and physics. They are often found as groups of symmetries of `nice' mathematical objects like geometries or dynamical systems. The most important Lie groups are finite-dimensional and occur as groups of matrices over real or complex numbers. For example, the group SO(3) of all rotations of Euclidean 3-space or its closely related groups SU(2) and Spin(3) are Lie groups. One is interested in their properties and how these groups can be realised in higher dimensions.Every Lie group has an associated Lie algebra which is a very good linear approximation of the group. Many properties of the Lie group can be deduced from its Lie algebra. This course gives an introduction to the basic theory of finite-dimensional Lie groups and their associated Lie algebras and linear representations.
Subject to approval of the Head of School.
Gunter Steinke
MATH427 Homepage Mathematics and Statistics Honours Booklet
Domestic fee $788.00
International Postgraduate fees
* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.
For further information see Mathematics and Statistics .