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The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions
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ISBN: 0387950672
Author: Bruce Sagan
This book brings together many of the important results in this field. From the reviews: ""A classic gets even better....The edition has new material including the Novelli-Pak-Stoyanovskii bijective proof of the hook formula, Stanley’s proof of the sum of squares formula using differential posets, Fomin’s bijective proof of the sum of squares formula, group acting on posets and their use in proving unimodality, and chromatic symmetric functions." --ZENTRALBLATT MATH
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The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions