Undergraduate Course: Introduction to Lie Groups (MATH11053)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Credit level (Normal year taken) | SCQF Level 11 (Year 4 Undergraduate) |
Availability | Available to all students |
| SCQF Credits | 10 |
ECTS Credits | 5 |
| Summary | 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. |
| Course description |
Not entered
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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 |
Information for Visiting Students
| Pre-requisites | None |
Course Delivery Information
| Not being delivered |
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. To gain an appreciation of the interplay between different areas of mathematics in the setting of matrix groups.
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Contacts
| Course organiser | Prof José Figueroa-O'Farrill
Tel: (0131 6)50 5066
Email: |
Course secretary | Mrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: |
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