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Representation theory has applications in fields such as physics (via models for elementary particles), engineering (considering symmetries of structures), and even in voting theory (voting for committees in agreeable societies). This course will introduce the concepts and techniques of the representation theory of finite groups, and will focus on the representation theory of the symmetric group. We will undertake this study through a variety of perspectives, including general representation theory, combinatorial algorithms, and symmetric functions.
Grading: no pass/fail option,
yes fifth course option
evaluation will be based primarily on homework, in class presentations, and exams
junior and senior Math majors
This is a 400-level Math course.