Undergraduate Course: Topics in Ring and Representation Theory (MATH11144)
|School||School of Mathematics
||College||College of Science and Engineering
|Credit level (Normal year taken)||SCQF Level 11 (Year 5 Undergraduate)
||Availability||Available to all students
|Summary|| It is anticipated the course is delivered every other academic session.
Many 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.
The syllabus will vary from year to year. Possible topics include:
- Representations of finite groups
- Homological algebra
- Deformation theory of algebras
- Lie algebras
For 2019/20 the topic of this course is planned to be Kac-Moody Algebras.
Entry Requirements (not applicable to Visiting Students)
|| Students MUST have passed:
Honours Algebra (MATH10069)
||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-requisites||Visiting students are advised to check that they have studied the material covered in the syllabus of each prerequisite course before enrolling
|High Demand Course?
Course Delivery Information
|Not being delivered|
| 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.
|Graduate Attributes and Skills
|Course organiser||Prof Iain Gordon
Tel: (0131 6)50 5062
|Course secretary||Mr Martin Delaney
Tel: (0131 6)50 6427