RT8.3. Finite Groups: Projection to Irreducibles 
RT8.3. Finite Groups: Projection to Irreducibles
by Robert Donley
Video Lecture 14 of 18
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Date Added: March 14, 2015

Lecture Description

Representation Theory: Having classified irreducibles in terms of characters, we adapt the methods of the finite abelian case to define projection operators onto irreducible types. Techniques include convolution and weighted averages of representations. At the end, we state and prove the Plancherel Formula (Parseval's Identity using irreducibles).

Course materials, including problem sets with solutions, are available at mathdoctorbob.org/UR-RepTheory.html

Course Index

Course Description

Doctor Bob provides 18 short video lectures on the introduction to representation theory. Group representations are where group theory meets linear algebra, and important applications arise in various math subjects (number theory, analysis, algebraic geometry), physics, and chemistry.

We consider the basic representation theory of finite groups. Goals include a look at Fourier series/analysis using groups and elementary character theory.

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