Undergraduate Course: Representation Theory (MATH10035)
Course Outline
| School |
School of Mathematics |
College |
College of Science and Engineering |
| Course type |
Standard |
Availability |
Available to all students |
| Credit level (Normal year taken) |
SCQF Level 10 (Year 4 Undergraduate) |
Credits |
10 |
| Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Honours) |
| Course website |
http://student.maths.ed.ac.uk
|
Taught in Gaelic? |
No |
| Course description |
Course for final year students in Honours programmes in Mathematics.
1. Group actions
2. Representations of groups and FG-modules; notions of submodules, homomorphisms, irreducibility
3. Complete reducibilty; Schur's lemma
4. Characters, character tables and orthogonality relations
5. Induction, restriction, Frobenius reciprocity, Mackey's theorem
6. Burnside's theorem |
Entry Requirements
| Pre-requisites |
|
Co-requisites |
|
| Prohibited Combinations |
|
Other requirements |
None
|
| Additional Costs |
None |
Information for Visiting Students
| Pre-requisites |
None |
| Displayed in Visiting Students Prospectus? |
Yes |
Course Delivery Information
| Not being delivered |
Summary of Intended Learning Outcomes
| To gain a working knowledge of basic techniques in representation theory and to be able to apply this knowledge in elementary examples; in particular, to gain working knowledge of basic techniques in the theory of characters, character tables and orthogonality relations and to be able to apply this knowledge in elementary examples. |
Assessment Information
Examination only.
|
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Not entered |
| Transferable skills |
Not entered |
| Reading list |
Not entered |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords |
RTh |
Contacts
| Course organiser |
Dr Liam O'Carroll
Tel: (0131 6)50 5070
Email: L.O'Carroll@ed.ac.uk |
Course secretary |
Ms Jennifer Marshall
Tel: (0131 6)50 5048
Email: Jennifer.Marshall@ed.ac.uk |
|
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