
 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 classification of semisimple Lie groups
 The student is familiar with concepts like root lattices and Dynkin diagrams
 The student knows the commonly used representations of su(n), so(n), etc
 The student has acquired competence in applying group theory methods to physics problems in mechanics, quantum mechanics and particle physics
 The student has acquired the necessary group theoretical background underlying grand unified and supersymmetric particle physics models


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 corresponding mathematical background, studying finite groups, Lie groups, Lie algebras and their representations. We will cover the classification of semisimple Lie algebras including the important examples of su(n) and so(n). We discuss the physical relevance of these algebras with an emphasis on particle physics applications. The course is aimed at students in both physics and mathematics, and is standard for students in mathematical physics. The covered material is relevant for many courses in theoretical highenergy physics, including “Quantum Field Theory” and “Theoretical Foundations of Elementary Particles”.




The course will be taught in English. 
Credits will be awarded based on the successful participation in the exercises (30%) and a written exam (70%) 
Classical and quantum mechanics. 
  Required materialsReaderA complete set of lecture notes and exercises will be available via blackboard. 

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

 Instructional modesTestsExamTest weight   7 
Test type   Exam 
Opportunities   Block KW4, Block KW4 
 ParticipationTest weight   3 
Test type   Participation 
Opportunities   Block KW4 


 