Undergraduate Course: Introduction to Lie Groups (MATH11053)
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 4 Undergraduate) |
Credits | 10 |
| Home subject area | Mathematics |
Other subject area | Specialist Mathematics & Statistics (Honours) |
| Course website |
https://info.maths.ed.ac.uk/teaching.html |
Taught in Gaelic? | No |
| Course description | Course for final year students in Honours programmes in Mathematics.
Matrix groups: the general and special linear groups and subgroups preserving bilinear forms. The Lie algebra of a matrix group: the exponential map. Transformation groups: the group acting on itself and on its Lie algebra: the adjoint representation. Quaternions. |
Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
Students MUST have passed:
Algebra (MATH10021)
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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
1. An understanding of matrix groups and their Lie algebras, as an application of linear algebra.
2. An understanding of transformation groups and the notion of invariance.
3. Familiarity with the basic facts about representation theory of compact matrix groups.
4. To gain an appreciation of the interplay between different areas of mathematics in the setting of matrix groups.
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Assessment Information
Coursework: 15%; Degree Examination: 85%.
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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 | Lie |
Contacts
| Course organiser | Prof Jose Figueroa-Ofarrill
Tel: (0131 6)50 5066
Email: |
Course secretary | Mrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: |
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