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

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.