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The symmetric group. Representations, combinatorial algorithms, and symmetric functions. 2nd ed. (English) Zbl 0964.05070
Graduate Texts in Mathematics. 203. New York, NY: Springer. xv, 238 p. (2001).
A classic gets even better. See Zbl 0823.05061 for review of first edition. This 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, groups acting on posets and their use in proving unimodality, and chromatic symmetric functions.

05E10 Combinatorial aspects of representation theory
05E05 Symmetric functions and generalizations
05-02 Research exposition (monographs, survey articles) pertaining to combinatorics
20C20 Modular representations and characters
Zbl 0823.05061