MATH427-12S2 (C) Semester Two 2012

Lie Groups and Lie Algebras

0.1250 EFTS
09 Jul 2012 - 11 Nov 2012


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.

Learning Outcomes

University Graduate Attributes

This course will provide students with an opportunity to develop the Graduate Attributes specified below:

Critically competent in a core academic discipline of their award

Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.


Subject to approval of the Head of School.

Streams Day Time Where Notes
Stream 01 Tuesday 3:00pm-4:00pm   13 Aug - 19 Aug,
3 Sep - 14 Oct
Wednesday 2:00pm-3:00pm Erskine 441 9 Jul - 19 Aug,
3 Sep - 14 Oct
Friday 3:00pm-4:00pm Erskine 441 9 Jul - 12 Aug

Course Coordinator / Lecturer

Gunter Steinke


Assessment Due Date Percentage 
Internal Assessment - TBA 45%
Final Examination 55%

Examination and Formal Tests

Exam Monday 05 Nov 2012 2:30pm-4:30pm  

Indicative Fees

Domestic fee $788.00

* Fees include New Zealand GST and do not include any programme level discount or additional course related expenses.

For further information see Mathematics and Statistics.

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