Credits: 5

Schedule: 29.10.2019 - 18.12.2019

Teaching Period (valid 01.08.2018-31.07.2020): 

Not lectured (2018-2019)

II Autumn (2019-2020)

Lectured every other year

Learning Outcomes (valid 01.08.2018-31.07.2020): 

After completing the course the participant is able to:

 - describe symmetries in scientific and engineering problems using groups and their representations.

 - analyze discrete symmetries with character theory

 - analyze continuous symmetries with highest weight representations of Lie groups and Lie algebras

Content (valid 01.08.2018-31.07.2020): 

Representations of finite groups, character theory.

Lie groups and their Lie algebras.

Representations of semisimple Lie algebras.

Assessment Methods and Criteria (valid 01.08.2018-31.07.2020): 

Weekly exercises and exam.

Workload (valid 01.08.2018-31.07.2020): 

- 2 x 2h lectures

- 1 x 2h exercises sessions

Study Material (valid 01.08.2018-31.07.2020): 

W. Fulton & J. Harris "Representation theory: A first course", Graduate Texts in Mathematics. Springer, 2004.

Course Homepage (valid 01.08.2018-31.07.2020): 

https://mycourses.aalto.fi/course/search.php?search=MS-E1200

Prerequisites (valid 01.08.2018-31.07.2020): 

MS-C1081, MS-A02XX, MS-A00XX 

Grading Scale (valid 01.08.2018-31.07.2020): 

0-5

Description

Registration and further information