Here is a key text on the subject of representation theory in
finite groups. The pages of this excellent little book, prepared by
Rafael Stekolshchik, contain a number of new proofs relating to
Coxeter Transformations and the McKay Correspondence. They include
ideas and formulae from a number of luminaries including J. N.
Bernstein, I. M. Gelfand and V. A. Ponomarev, as well as material
from Coxeter and McKay themselves. Many other authors have material
published here too.
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