? Credit Points : 10  ? SCQF Level : 10  ? Acronym : MAT-4-RTh

Course for final year students in Honours programmes in Mathematics.

1. Group actions
2. Representations of groups and FG-modules; notions of submodules, homomorphisms, irreducibility
3. Complete reducibilty; Schur's lemma
4. Characters, character tables and orthogonality relations
5. Induction, restriction, Frobenius reciprocity, Mackey's theorem
6. Burnside's theorem

? Pre-requisites : U03419 Rings and Modules

Home subject area

Specialist Mathematics & Statistics (Honours), (School of Mathematics, Schedule P)

? Normal year taken : 4th year

? Delivery Period : Semester 2 (Blocks 3-4)

? Contact Teaching Time : 2 hour(s) per week for 11 weeks

All of the following classes

Type Day Start End Area Lecture Tuesday 11:10 12:00 KB Lecture Friday 11:10 12:00 KB

To gain a working knowledge of basic techniques in representation theory and to be able to apply this knowledge in elementary examples; in particular, to gain working knowledge of basic techniques in the theory of characters, character tables and orthogonality relations and to be able to apply this knowledge in elementary examples.

Examination only.

Exam times

Diet Diet Month Paper Code Paper Name Length 1ST May 1 - 2 hour(s)

The Course Secretary should be the first point of contact for all enquiries.

Course Secretary

Ms Jennifer Marshall
Tel : (0131 6)50 5048
Email : Jennifer.Marshall@ed.ac.uk

Course Organiser

Dr Liam O'Carroll
Tel : (0131 6)50 5070
Email : L.O'Carroll@ed.ac.uk

Course Website : http://student.maths.ed.ac.uk

School Website : http://www.maths.ed.ac.uk/

College Website : http://www.scieng.ed.ac.uk/