Representation theory of the symmetric groups: the Okounkov-Vershik approach, character formulas, and partition algebras
The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. This self-contained book provides a detailed introduc...
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| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2010
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| Series: | Cambridge studies in advanced mathematics
121 |
| Links: | https://doi.org/10.1017/CBO9781139192361 |
| Summary: | The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. This self-contained book provides a detailed introduction to the subject, covering classical topics such as the Littlewood-Richardson rule and the Schur-Weyl duality. Importantly the authors also present many recent advances in the area, including Lassalle's character formulas, the theory of partition algebras, and an exhaustive exposition of the approach developed by A. M. Vershik and A. Okounkov. A wealth of examples and exercises makes this an ideal textbook for graduate students. It will also serve as a useful reference for more experienced researchers across a range of areas, including algebra, computer science, statistical mechanics and theoretical physics. |
| Physical Description: | 1 Online-Ressource (xv, 412 Seiten) |
| ISBN: | 9781139192361 |
Staff View
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| spelling | Ceccherini-Silberstein, Tullio Representation theory of the symmetric groups the Okounkov-Vershik approach, character formulas, and partition algebras Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli Cambridge Cambridge University Press 2010 1 Online-Ressource (xv, 412 Seiten) txt c cr Cambridge studies in advanced mathematics 121 The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. This self-contained book provides a detailed introduction to the subject, covering classical topics such as the Littlewood-Richardson rule and the Schur-Weyl duality. Importantly the authors also present many recent advances in the area, including Lassalle's character formulas, the theory of partition algebras, and an exhaustive exposition of the approach developed by A. M. Vershik and A. Okounkov. A wealth of examples and exercises makes this an ideal textbook for graduate students. It will also serve as a useful reference for more experienced researchers across a range of areas, including algebra, computer science, statistical mechanics and theoretical physics. Scarabotti, Fabio Tolli, Filippo 1968- Erscheint auch als Druck-Ausgabe 9780521118170 Erscheint auch als Druck-Ausgabe 9781107471917 |
| spellingShingle | Ceccherini-Silberstein, Tullio Representation theory of the symmetric groups the Okounkov-Vershik approach, character formulas, and partition algebras |
| title | Representation theory of the symmetric groups the Okounkov-Vershik approach, character formulas, and partition algebras |
| title_auth | Representation theory of the symmetric groups the Okounkov-Vershik approach, character formulas, and partition algebras |
| title_exact_search | Representation theory of the symmetric groups the Okounkov-Vershik approach, character formulas, and partition algebras |
| title_full | Representation theory of the symmetric groups the Okounkov-Vershik approach, character formulas, and partition algebras Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli |
| title_fullStr | Representation theory of the symmetric groups the Okounkov-Vershik approach, character formulas, and partition algebras Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli |
| title_full_unstemmed | Representation theory of the symmetric groups the Okounkov-Vershik approach, character formulas, and partition algebras Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli |
| title_short | Representation theory of the symmetric groups |
| title_sort | representation theory of the symmetric groups the okounkov vershik approach character formulas and partition algebras |
| title_sub | the Okounkov-Vershik approach, character formulas, and partition algebras |
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