Modules and Representation Theory - MATH5735
Faculty: Faculty of Science
School: School of Mathematics and Statistics
Course Outline: http://www.maths.unsw.edu.au
Campus: Sydney
Career: Postgraduate
Units of Credit: 6
EFTSL: 0.12500 (more info)
Indicative Contact Hours per Week: 3
CSS Contribution Charge: 2 (more info)
Tuition Fee: See Tuition Fee Schedule
Further Information: See Class Timetable
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Description
Performing linear algebra over a ring of scalars instead of a field leads to the notion of a module. The theory of modules is surprisingly subtle and has many applications, not only to other parts of mathematics but also to mathematical physics. This course focuses on the theory of modules over principal ideal domains and over semisimple rings. The first has applications to linear algebra. The second has applications to group representations which is essential to the study of symmetry. Topics include modules, modules over a PID, group representations.
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