Postgraduate Course: Basic Algebra 2 (MATH11126)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Course type | Standard |
Availability | Not available to visiting students |
| Credit level (Normal year taken) | SCQF Level 11 (Postgraduate) |
Credits | 20 |
| Home subject area | Mathematics |
Other subject area | None |
| Course website |
None |
Taught in Gaelic? | No |
| Course description | Basic module theory, including such categorical notions as simple and projective modules.
Module theory for principal ideal domains, with examples such as Jordan Canonical Form and finitely generated abelian groups.
Artin-Wedderburn theory, in the context of finite dimensional algebras over fields. (8 hours)
Ordinary representation theory of finite groups: Maschke's theorem; characters and character tables; tensor products; applications to groups such as Burnside's Theorem. (12 hours) |
Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
Students MUST have passed:
Basic Algebra 1 (MATH11125)
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Co-requisites | |
| Prohibited Combinations | |
Other requirements | None |
| Additional Costs | None |
Course Delivery Information
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| Delivery period: 2012/13 Semester 2, Not available to visiting students (SS1)
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Learn enabled: Yes |
Quota: None |
| Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| No Classes have been defined for this Course |
| First Class |
First class information not currently available |
| No Exam Information |
Summary of Intended Learning Outcomes
A thorough understanding of the basics of module theory including the fundamental theorem for finitely generated modules over principal ideal domains in the commutative setting and the decomposition theory for finitely generated modules over finite dimensional semisimple algebras, with the ability to apply the theory to problems concerning Jordan Canonical Form, finitely generated abelian groups and representation theory.
Ability to manipulate representations of groups, particularly through character tables. |
Assessment Information
| Coursework 20%; examination 80% |
Special Arrangements
| Selection of this course requires the approval of your Programme Director. |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Not entered |
| Transferable skills |
Not entered |
| Reading list |
Not entered |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | BAlg2 |
Contacts
| Course organiser | Prof Tom Lenagan
Tel: (0131 6)50 5078
Email: T.Lenagan@ed.ac.uk |
Course secretary | Mrs Frances Reid
Tel: (0131 6)50 4883
Email: f.c.reid@ed.ac.uk |
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