Masters Thesis Defense and Algebra Seminar, John Bergan: 'The Peter-Weyl Theorem'

Friday, April 24, 2015
1:10 PM - 2:00 PM (ET)
ESC 638
Event Type
Academic Calendar
David Pollack
Math/CS Algebra Seminar

Abstract: For finite groups, a decomposition of the regular representation into a direct sum of irreducible subrepresentations is readily obtained with elementary representation theory. Infinite groups, however, pose a far more challenging problem. But if we restrict ourselves to compact groups and use a little functional analysis, then we can still obtain a complete decomposition of the regular representation. This is the Peter-Weyl Theorem. In this talk, I will discuss all the necessary background information and the proof the theorem.

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