This course covers several fundamental topics in Representation Theory, providing a solid and broad foundation to the subject and its interactions with algebra and analysis. The course discusses representations of finite groups; symmetric groups (in detail), general linear groups, and finally the group SL(2) and its Lie algebra.
Unless otherwise noted, the details of the content of this course can be found on the Scottish Mathematical Sciences Training Centre web site www.smstc.ac.uk, and/or the CDT webpage http://www.agq-cdt.org.
By the end of the course, students should be able to do the following:
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SCQF Level: 11
Credits: 15