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- catalog abstract ""This text is an introduction to the representation theory of the symmetric group from three different points of view: via general representation theory, via combinatorial algorithms, and via symmetric functions. It is the only book to deal with all three aspects of this subject at once. The style of presentation is relaxed yet rigorous, and the prerequisites have been kept to a minimum: undergraduate courses in linear algebra and group theory will suffice. And this is a very active area of current research, so the text will appeal to graduate students and mathematicians in other specialties interested in finding out about this field. On the other hand, a number of the combinatorial results presented have never appeared in book form before, and so the volume will serve as a good reference for researchers already working in this area. Among these results are Haiman's theory of dual equivalence and the beautiful Novelli-Pak-Stoyanovskii proof of the hook formula (the latter being new to the second edition). In addition, there is a new chapter on applications of materials from the first edition."--Jacket.".
- catalog contributor b12080375.
- catalog created "c2001.".
- catalog date "2001".
- catalog date "c2001.".
- catalog dateCopyrighted "c2001.".
- catalog description ""This text is an introduction to the representation theory of the symmetric group from three different points of view: via general representation theory, via combinatorial algorithms, and via symmetric functions. It is the only book to deal with all three aspects of this subject at once. The style of presentation is relaxed yet rigorous, and the prerequisites have been kept to a minimum: undergraduate courses in linear algebra and group theory will suffice. And this is a very active area of current research, so the text will appeal to graduate students and mathematicians in other specialties interested in finding out about this field. On the other hand, a number of the combinatorial results presented have never appeared in book form before, and so the volume will serve as a good reference for researchers already working in this area. Among these results are Haiman's theory of dual equivalence and the beautiful Novelli-Pak-Stoyanovskii proof of the hook formula (the latter being new to the second edition). In addition, there is a new chapter on applications of materials from the first edition."--Jacket.".
- catalog description "Group representations -- Representations of the symmetric group -- Combinatorial algorithms -- Symmetric functions -- Applications and generalizations.".
- catalog description "Includes bibliographical references (p. 223-229) and index.".
- catalog extent "xv, 238 p. :".
- catalog identifier "0387950672 (alk. paper)".
- catalog isPartOf "Graduate texts in mathematics ; 203".
- catalog issued "2001".
- catalog issued "c2001.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "512/.2 21".
- catalog subject "QA171 .S24 2001".
- catalog subject "Representations of groups.".
- catalog subject "Symmetric functions.".
- catalog tableOfContents "Group representations -- Representations of the symmetric group -- Combinatorial algorithms -- Symmetric functions -- Applications and generalizations.".
- catalog title "The symmetric group : representations, combinatorial algorithms, and symmetric functions / Bruce E. Sagan.".
- catalog type "text".