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Zbl 0964.05070
Sagan, Bruce E.
The symmetric group. Representations, combinatorial algorithms, and symmetric functions. 2nd ed. (English)
[B] Graduate Texts in Mathematics. 203. New York, NY: Springer. xv, 238 p. DM 98.00; \sterling 34.00; \$ 44.95 (2001). ISBN 0-387-95067-2/hbk

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.
[David M.Bressoud (Saint Paul)]

MSC 2000:: *05E10 Tableaux, etc.
05E05 Symmetric functions
05-02 Research monographs (combinatorics)
20C20 Modular representations and characters of groups

Keywords: algebraic combinatorics; representation theory; symmetric group

Citations: Zbl 0823.05061

Cited in: Zbl pre05717299

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	Scientific prize winners of the ICM 2010
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