THE UNIVERSITY of EDINBURGH

DEGREE REGULATIONS & PROGRAMMES OF STUDY 2017/2018

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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Topics in Ring and Representation Theory (MATH11144)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 11 (Year 5 Undergraduate) AvailabilityAvailable to all students
SCQF Credits10 ECTS Credits5
SummaryMany modern mathematical avenues of research build on the foundations of linear algebra and group theory studied at Levels 8, 9, and 10 to tackle fundamental questions involving symmetry, invariance, structure, and classification, both within mathematics and throughout the natural sciences. This course develops these important algebraic concepts at an advanced level. Topics are drawn from the areas of ring theory, representation theory and category theory.
Course description The syllabus will vary from year to year. Possible topics include:
- Representations of finite groups
- Homological algebra
- Deformation theory of algebras
- Lie algebras
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: Honours Algebra (MATH10069)
Co-requisites
Prohibited Combinations Other requirements This course is designed so as to be independent of MATH11143 Topics in Noncommutative Algebra, so that students may take either course, or both.
Information for Visiting Students
Pre-requisitesNone
High Demand Course? Yes
Course Delivery Information
Academic year 2017/18, Available to all students (SV1) Quota:  None
Course Start Semester 1
Timetable Timetable
Learning and Teaching activities (Further Info) Total Hours: 100 ( Lecture Hours 22, Seminar/Tutorial Hours 5, Summative Assessment Hours 1.5, Programme Level Learning and Teaching Hours 2, Directed Learning and Independent Learning Hours 69 )
Assessment (Further Info) Written Exam 50 %, Coursework 50 %, Practical Exam 0 %
Additional Information (Assessment) Coursework 50%, Examination 50%
Feedback Not entered
Exam Information
Exam Diet Paper Name Hours & Minutes
Main Exam Diet S1 (December)Topics in Ring and Representation Theory (MATH11144)1:30
Learning Outcomes
After successful completion of this course, students will understand an advanced topic in algebra at a level suitable for an upper-level undergraduate. Specifically, students will be able to:

1. State important theorems in the topic area and explain key steps in their proof.
2. Explain the underlying definitions in the topic area.
3. Provide examples illustrating these definitions.
4. Demonstrate their comprehension by solving unseen problems in the topic area.
Reading List
None
Additional Information
Graduate Attributes and Skills Not entered
KeywordsTRRT
Contacts
Course organiserProf Josť Figueroa-O'Farrill
Tel: (0131 6)50 5066
Email: j.m.figueroa@ed.ac.uk
Course secretaryMr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk
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