A clear presentation of representation theory and its applications at the beginning to intermediate levels. "Representation theory is an exciting area of mathematics which studies representations of associative algebras"... with "a wide variety of applications, ranging from physics (elementary particles) and chemistry (atoms, molecules) to probability (card shuffles) and number theory (Fermat's last theorem)... Representation theory was born in 1896 in the work of the German mathematician F. G. Frobenius".
Rights:
Open access, free downloads at:
http://www-math.mit.edu/~etingof/replect.pdf
