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 | *Only Postgraduate Taught students on Mathematics Degree Programmes and Undergraduate MMath Year 5 students may take this course, and selection requires the approval of the Programme Director.*
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: 2014/15 Semester 2, Not available to visiting students (SS1)
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Learn enabled: Yes |
Quota: None |
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Web Timetable |
Web Timetable |
Course Start Date |
12/01/2015 |
Breakdown of Learning and Teaching activities (Further Info) |
Total Hours:
200
(
Lecture Hours 20,
Seminar/Tutorial Hours 10,
Summative Assessment Hours 3,
Programme Level Learning and Teaching Hours 4,
Directed Learning and Independent Learning Hours
163 )
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Additional Notes |
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Breakdown of Assessment Methods (Further Info) |
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %
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Exam Information |
Exam Diet |
Paper Name |
Hours & Minutes |
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Main Exam Diet S2 (April/May) | Basic Algebra 2 (MATH11126) | 3:00 | |
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
See 'Breakdown of Assessment Methods' and 'Additional Notes', above. |
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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© Copyright 2014 The University of Edinburgh - 29 August 2014 4:21 am
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