MATH M0012 (Teaching Block 1)
Lie Groups, Lie Algebras and Their Representations
- Lecturer: Alexander Gorodnik
- Class Time: Lecture: Monday 11am-1pm at MATH BLDG 1.2 TCC; Problem Class: Wednesday 10-11am at MATH SM4
- Office hours: Monday 2-3pm, Howard House 5a
- Level: M/7
- Credit point value: 10cp
- Year: 17/18
- Prerequisites: MATH 11005 Linear Algebra and Geometry, MATH 10003 Analysis 1A, MATH 10006 Analysis 1B, MATH 11007 Calculus 1, MATH 20901 Multivariable Calculus, MATH 21100 Linear Algebra 2.
Course Description:
Lie groups and Lie algebras embody the mathematical theory of symmetry. A central discipline in its own right, the subject also cuts across many areas of mathematics and its applications, including Geometry, Partial Differential Equations, Topology and Quantum Physics. This unit will concentrate on finite-dimensional semisimple Lie groups and Lie algebras and their representations, for which there exists a beautiful complete theory.
Exam Preparation Material:
References:
- A. Baker, Matrix Groups: An Introduction to Lie Group Theory. Springer, 2002.
- B. Hall,
Lie Groups, Lie Algebras, and Representations: An Elementary Introduction.
Springer, 2015.
- A. Kirillov, An Introduction to Lie Groups and Lie Algebras, Cambridge University Press, 2008.
- W. Rossmann, Lie Groups: An Introduction Through Linear Groups.
Oxford University Press, 2006.