Under construction. This area is a framework being built: most courses have no teaching material yet, and things may change or break. Private self-study. Not an official programme and not recognised by any ministry or school. No qualification, mark or document is issued, and “years 1 to 3” and “advanced” are names of study paths only.
E18 Lie groups and Lie algebras
Advanced pathE: Proposed extensionsplannedproposed, not in any programmeabout 180 h (planning estimate)
Planned: syllabus only, no teaching material yet. Nothing on this page can be studied; it describes what the course would cover.
In no programme. This is a proposed extension course; the owner has not approved it into a programme.
Proposed by the assistant to fill a gap in the owner's catalogue. It is in no programme until the owner approves it.
Why this course
Where algebra, geometry and symmetry meet.
Prerequisites
Concept-level units
Units follow the syllabus order, as a recommended sequence rather than a gate.
- Matrix Lie groups
- Lie algebras and the exponential map
- Representations of sl(2)
- Structure of semisimple Lie algebras
- Root systems
- Examples in geometry and physics
Assessable outcome
Compute with Lie algebras and classify small examples with justification.
Assessment design
- deeper problem sets
- reconstruction of an unfamiliar argument
- advanced source reading
- cumulative examination or substantial project
cumulative; uses spaced retrieval
Resources
Every title here is candidate, unverified unless marked verified. Titles were suggested while planning. Nobody has checked that they exist, what they cost or how they are licensed.
- Hall · Lie Groups, Lie Algebras, and Representations
- Erdmann and Wildon · Introduction to Lie Algebras
- Humphreys · Introduction to Lie Algebras and Representation Theory
Content record
- Version
- 0.0.0
- Review
- no review of any kind
- Provenance
- PROPOSED by the assistant on 30 Oct 2026 to fill gaps in the brief's catalogue; not in the owner's brief; needs the owner's approval and a curriculum reviewer
- Known issues
- Proposed course: not counted by any programme audit until the owner approves adding it to an elective pool.
- Type
- course
Bridges and laboratories
No bridge or laboratory is attached to this course yet.
You and this course
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