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 (not applicable to Visiting Students)
| Pre-requisites |
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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.
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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: |
Course secretary | Ms Jennifer Marshall
Tel: (0131 6)50 5048
Email: |
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