Sagan, Bruce E. 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. Reviewer: David M.Bressoud (Saint Paul) Cited in 2 ReviewsCited in 320 Documents MSC: 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 Keywords:algebraic combinatorics; representation theory; symmetric group Citations:Zbl 0823.05061 PDF BibTeX XML Cite \textit{B. E. Sagan}, The symmetric group. Representations, combinatorial algorithms, and symmetric functions. 2nd ed. New York, NY: Springer (2001; Zbl 0964.05070) OpenURL Digital Library of Mathematical Functions: §26.19 Mathematical Applications ‣ Applications ‣ Chapter 26 Combinatorial Analysis