Study programme 20202021  Français  
Group Theory  
Programme component of Bachelor's in Mathematics à la Faculty of Science 
Students are asked to consult the ECTS course descriptions for each learning activity (AA) to know what special Covid19 assessment methods are possibly planned for the end of Q3 

Code  Type  Head of UE  Department’s contact details  Teacher(s) 

USB2SCMATH019M  Optional UE  BOULANGER Nicolas 

Language of instruction  Language of assessment  HT(*)  HTPE(*)  HTPS(*)  HR(*)  HD(*)  Credits  Weighting  Term 

 Français  30  20  0  0  0  4  4.00  2nd term 
AA Code  Teaching Activity (AA)  HT(*)  HTPE(*)  HTPS(*)  HR(*)  HD(*)  Term  Weighting 

SPHYS201  Group theory  30  20  0  0  0  Q2  100.00% 
Programme component 

Objectives of Programme's Learning Outcomes
Learning Outcomes of UE
The student must have learnt and should master the representation theory of finite groups. He/she must also know the basics of Lie groups and Lie algebra representation theory. In the case of SU(2), he/she must know the explicit construction and classification of all its UIR's. He/she must be able to solve elementary problems in group theory.
Content of UE
Finite groups and their unitary irreducible representations (UIRs). Lie groups and algebras, their representations. Classification of the UIRs of SO(3) and SU(2). Haar measure. Cartan classification of semisimple Lie algebras.
Prior Experience
Linear algebra.
Type of Assessment for UE in Q2
Q2 UE Assessment Comments
The exam consists of two parts. Part 1 on finite groups and Part 2 on Lie groups.
Each of these two parts is marked over 20. The final mark is obtained by taking the geometrical mean of the two marks.
Type of Assessment for UE in Q3
Q3 UE Assessment Comments
The exam consists of two parts. Part 1 on finite groups and Part 2 on Lie groups.
Each of these two parts are marked over 20. The final mark is obtained by taking the geometrical mean of the two marks.
Type of Teaching Activity/Activities
AA  Type of Teaching Activity/Activities 

SPHYS201 

Mode of delivery
AA  Mode of delivery 

SPHYS201 

Required Reading
AA  

SPHYS201 
Required Learning Resources/Tools
AA  Required Learning Resources/Tools 

SPHYS201  Wu Ki Tung, "Group theory in Physics", World Scientific (1985); M. Hamermesh, "Group Theory", Dover (1989) 
Recommended Reading
AA  

SPHYS201 
Recommended Learning Resources/Tools
AA  Recommended Learning Resources/Tools 

SPHYS201  Lectures notes on Moodle 
Other Recommended Reading
AA  Other Recommended Reading 

SPHYS201  A. Knapp, "Lie groups: Beyond an Introduction", Birkhauser, 2nd edition (2002); Fuchs and Schweigert, "Symmetries, Lie algebras and Representations: A graduate course for Physicists", Cambridge (2003) 
Grade Deferrals of AAs from one year to the next
AA  Grade Deferrals of AAs from one year to the next 

SPHYS201  Authorized 