
 The student understands the structure of finite groups and their representations
 The student understands the structure of Lie groups and their relation to Lie algebras
 The student knows the representations of su(2) and su(3) and their applications in physics
 The student is familiar with concepts like the adjoint representation, root systems and Dynkin diagrams
 The student knows the classification of compact Lie algebras
 The student has acquired competence in applying group theoretical methods to problems in quantum mechanics and particle physics


Symmetries and group theoretical methods play an important role in many areas of physics, e.g., when constructing conserved quantities of a given physical system. In this course we discuss the mathematical background, studying finite groups, Lie groups, Lie algebras and their representations. We will cover the classification of compact Lie algebras including the important examples of su(n) and so(n). We discuss the physical relevance of these algebras and their representations with an emphasis on particle physics applications. The course is suited for students in both physics and mathematics, and is highly recommended for those interested in theoretical highenergy physics (both on the particle physics and gravitational side). The covered material is relevant for many courses in theoretical highenergy physics, including “Quantum Field Theory”, “Theoretical Foundations of Elementary Particles” and “Quantum Gravity”.

  Classical and quantum mechanics. 
  The course will be taught in English. 



  Required materialsReaderA complete set of lecture notes and exercises will be available via Brightspace. 

 Recommended materialsBookWuKi Tung, Group theory in Physics, World Scientific Publication, 1985 
 BookH. Georgi, Lie Algebras in Particle Physics, Westview Press, 1999 

 Instructional modesTestsExamTest weight   1 
Test type   Exam 
Opportunities   Block KW4, Block KW4 


 