Undergraduate Course: Topics in Ring and Representation Theory (MATH11144)
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 11 (Year 5 Undergraduate) |
Credits | 10 |
| Home subject area | Mathematics |
Other subject area | None |
| Course website |
None |
Taught in Gaelic? | No |
| Course description | Many modern mathematical avenues of research build on the foundations of linear algebra and group theory studied at Levels 8, 9, and 10 to tackle fundamental questions involving symmetry, invariance, structure, and classification, both within mathematics and throughout the natural sciences. This course develops these important algebraic concepts at an advanced level. Topics are drawn from the areas of ring theory, representation theory and category theory. |
Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
Students MUST have passed:
Honours Algebra (MATH10069)
It is RECOMMENDED that students have passed
Commutative Algebra (MATH10017)
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Co-requisites | |
| Prohibited Combinations | |
Other requirements | Students should have taken MATH10079 Group Theory or MATH10078 Group and Galois Theory.
This course is designed so as to be independent of MATH11143 Topics in Noncommutative Algebra, so that students may take either course, or both. |
| Additional Costs | None |
Information for Visiting Students
| Pre-requisites | None |
| Displayed in Visiting Students Prospectus? | No |
Course Delivery Information
| Not being delivered |
Summary of Intended Learning Outcomes
After successful completion of this course, students will understand an advanced topic in algebra at a level suitable for an upper-level undergraduate. Specifically, students will be able to:
1. State important theorems in the topic area and explain key steps in their proof.
2. Explain the underlying definitions in the topic area.
3. Provide examples illustrating these definitions.
4. Demonstrate their comprehension by solving unseen problems in the topic area. |
Assessment Information
| Coursework 20%, Examination 80% |
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
The syllabus will vary from year to year. Possible topics include:
- Representations of finite groups
- Homological algebra
- Deformation theory of algebras
- Lie algebras |
| Transferable skills |
Not entered |
| Reading list |
Not entered |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | TRRT |
Contacts
| Course organiser | Dr Thomas Leinster
Tel: (0131 6)50 5057
Email: Tom.Leinster@ed.ac.uk |
Course secretary | Mrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk |
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