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MAU34408 Lie Groups and their Representations in Physics

Credit weighting (ECTS)
5 credits
Semester taught
Semester 2
Contact Hours
11 weeks, 3 lectures per week
Lecturer
Dr Chaolun Wu
Module Content
The module covers the following topics:
  • Basic concepts of Lie groups and Lie algebras, the exponential map;
  • Geometric aspects of Lie groups;
  • Algebraic structure of Lie algebras;
  • Weights, roots, Dynkin diagrams and the classification;
  • Representations of Lie groups and Lie algebras;
  • Classical Lie groups and their algebras;
  • Applications in physics.
Reading
The following textbooks are recommended as supplemental references to the lecture notes, but not as required:
  • Robert Gilmore, "Lie Groups, Physics, and Geometry: An Introduction for Physicists, Engineers and Chemists", Cambridge University Press (2008);
  • D. H. Sattinger and O. L. Weaver, "Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics", Springer-Verlag (1986);
  • Francesco Iachello, "Lie Algebras and Applications", Second Edition, Springer-Verlag (2015).
Module prerequisites
MAU22101 (Group theory), MAU34404 (Quantum mechanics II)
Assessment Detail
This module will be examined in a 2 hour examination at the annual session. Continuous assessment will contribute 15% to the final grade for the module at the annual examination session. Re-assessments if required will consist of 100% exam.