Representation Theory of Groups (MAGIC075) |
GeneralThis course is part of the MAGIC core. Description
Please see the syllabus.
SemesterSpring 2019 (Monday, January 21 to Friday, March 29) Hours
Timetable
PrerequisitesA course on group theory and a good background in linear algebra.
SyllabusRepresentation Theory
Lecturer: Martina Balagovic Spring Term Outline of course: This course is an introduction to the representation theory of finite groups. We will develop the basic theory of finite dimensional representations over C. The main results are that such representations are completely reducible and completely determined by their characters. We will also see how characters are used to effectively calculate such decompositions. We will finish the course by studying two classes of examples. Course Plan:
Reference Texts:
Lecturer
Bibliography
Note: Clicking on the link for a book will take you to the relevant Google Book Search page. You may be able to preview the book there. On the right hand side you will see links to places where you can buy the book. There is also link marked 'Find this book in a library'. This sometimes works well, but not always. (You will need to enter your location, but it will be saved after you do that for the first time.) AssessmentThe assessment for this course will be via a single take-home paper in April with 2 weeks to complete and submit online. There will be a total 6 questions, you should attempt and submit your answers to 4 questions of your choice, and you will need the equivalent of 2 questions to pass.
MAGIC075 Representation Theory of Groups Exam 2018/2019
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