Hi,

Does anyone know some good survey texts (the more introductory, the
better) that deal with either

(1) Applications of representation theory to Fourier analysis, or

(2) "Real-world" (practical) uses of representation theory (maybe in
engineering problems?), or

(3) Applications of representation theory to combinatorics

Are there good books or websites to look at?

On Thu, 04 Dec 2003 19:28:24 -0800, Davis Howard wrote:

Hi,

Does anyone know some good survey texts (the more introductory, the
better) that deal with either

(1) Applications of representation theory to Fourier analysis, or


Audrey Terras, Foruier Analysis on Finite Groups and Applications



(2) "Real-world" (practical) uses of representation theory (maybe in
engineering problems?), or


An appendix of James and Liebeck's Representations and characters of
Groups deals with a chemical application
(3) Applications of representation theory to combinatorics


see Terras

Are there good books or websites to look at?


i'll think about that one.


both books mentioned are very well written and can be read by anyone with
a basic grasp of maths.

william fulton's written a book called young tableau, (and there are many
more on this topic, that just happens to be the one on my shelf) that
shows the relationship between rep theory of S_n and Gl_n and the
combinatorics of partitions of n.

Davis Howard wrote:

(1) Applications of representation theory to Fourier analysis,

I would have thought that Fourier analysis was in effect
the representation theory of a locally compact abelian group A,
as developed eg by Pontriagin in his book on Topological Groups,
in the particular case A = R


--
Timothy Murphy
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s-mail: School of Mathematics, Trinity College, Dublin 2, Ireland