RT7.3. Finite Abelian Groups: Convolution 
RT7.3. Finite Abelian Groups: Convolution
by Robert Donley
Video Lecture 11 of 18
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Date Added: March 14, 2015

Lecture Description

Representation Theory: We define convolution of two functions on L^2(G) and note general properties. Three themes: convolution as an analogue of matrix multiplication, convolution with character as an orthogonal projection on L^2(G), and using using convolution to project onto irreducible types in representations.

Course materials, including problem sets and solutions, 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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