Pre-requisite modules
Co-requisite modules
- None
Prohibited combinations
- None
Pre-requisite knowledge for MSc students: A second course on Group Theory; a course on Algebraic Geometry.
Occurrence | Teaching cycle |
---|---|
A | Spring Term 2022-23 |
The aims of the module are to: introduce the notion of an algebraic group as a group which also carries the structure of an affine variety; to study particular algebraic groups such as special linear groups, also solvable algebraic groups, connected algebraic groups and tori; to develop some of the general properties of these groups via a small amount of representation theory.
The concept of an algebraic group as a group and an affine variety or algebraic set in affine space.
How the group operations viewed as homomorphisms of algebraic sets influence the group structure of an algebraic group.
Common examples of groups, such as general linear groups, special linear groups and groups of upper triangular matrices in the context of algebraic group theory.
The notion of the connected component of an algebraic group and be able to compute it in simple examples.
Diagonalisable groups.
Syllabus:
Task | Length | % of module mark |
---|---|---|
Closed/in-person Exam (Centrally scheduled) Algebraic Groups |
2 hours | 100 |
None
Task | Length | % of module mark |
---|---|---|
Closed/in-person Exam (Centrally scheduled) Algebraic Groups |
2 hours | 100 |
Current Department policy on feedback is available in the student handbook. Coursework and examinations will be marked and returned in accordance with this policy.
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