The symmetric group : representations, combinatorial algorithms, and symmetric functions

書誌事項

The symmetric group : representations, combinatorial algorithms, and symmetric functions

Bruce E. Sagan

(Graduate texts in mathematics, 203)

Springer, c2010

2nd ed

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注記

Includes bibliographical reference (p. 223-229) and index

内容説明・目次

内容説明

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

目次

* Group Representations * Representations of the Symmetric Group * Combinatorial Algorithms * Symmetric Functions * Applications and Generalizations

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