The course aspires to teaching students the complex of group theory basics: especially finite groups and Lie groups. At the end of the course, students will know group theory methods, necessary to deal with classic problems of unified models of fundamental interactions.
Expected learning outcomes
The student will acquire the following skills, after attending the course: 1) He will be able to write a Lagrangian for any field theory that is invariant under whichever gauge symmetry.
2) He will be capable to study the breaking pattern of the gauge symmetry for whatever model of unified forces.
3) He will attain the expertise to write gauge and Yukawa interactions, including all factor coefficients for each component of all involved fields.
4) He will become skillful to build whatever representation for any Lie group.