### Timetable

### Description

Master Program in Chemistry and Molecular Sciences is responsible for the course.

Advanced studies. An elective course.

The course is available for students of other study programmes.

The course is available for exchange students.

B.Sc. in chemistry or related field (physics or mathematics) is required. Some familiarity with complex numbers and basic matrix algebra is expected on the part of the student.

The course is included in the Physical Chemistry course block. However, the content is useful for any student interested in (formal and applied) group theory.

After completing the course the student has gained a significant knowledge on formal group theory, including representations, is familiar with its applications to molecular symmetry, and can apply this know-how to problems in computational chemistry and molecular spectroscopy.

First or second year of the master’s program, or within the doctoral studies. The course is offered 2020 in Period IV.

The curriculum of the course includes (but is not necessarily limited to):

Group axioms. Examples of groups. Point isometries. Point symmetry groups. Presentations. Subgroups. Cosets. Classes. Composition series. Derived groups. Mappings on groups. Direct product groups. Quotient groups. Matrix representations. Reducible and irreducible representations. Schur’s lemmas. Orthogonality theorems. Continuous groups. Basics of geometric algebra. Applications of group theory to problems in chemistry and molecular spectroscopy.

Full set of lecture notes will be provided, as there are no text books available that would cover exactly the same material. References to original works and relevant litterature are provided in the notes.

A handy collection of essential tables is given in Tables for Group Theory by P. W. Atkins, M. S. Child, and C. S. G. Phillips.

The lectures are accompanied with problem solving sessions and homework exercises. Tutoring hours in the Study Hall can be agreed.

Written exam evaluating the knowledge and appliance according to the intended learning outcomes. Standard scale 0-5. Additional points for succesfully completed excercises.

Due to current COVID-19 situation general examinations in lecture halls are cancelled. You can contact the teacher to ask about alternative completion methods.

The contact hours include lectures and problem solving sessions. No attendance requirements, but activity with exercises and homework is recommended.