Unitary Symmetry And Combinatorics
James D. Louck
This book is a masterpiece! It is a great proof that everything is related, and that
Natute, when analyzed deeply, reduces to combinatorics. One particulary attractive
tidbit was the pointing out that MacMahon's Master theorem is important in physics, and in fact a variant of it was rediscovered by nobelist Julian Schwinger of QED fame.
This book is too long to be read cover-to-cover, but it is so well-written that
if you open it at any chapter, it would still be understandable. This is the most
comprehensive treatment of the Racah symbol I am aware of. Anyone who is interested in
seeing how algebraic combinatorics can be used effectively in mathematical physics, should read at least parts of this book.
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