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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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2010
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| Schriftenreihe: | Cambridge studies in advanced mathematics
121 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xv, 412 pages) |
| ISBN: | 9781139192361 |
| DOI: | 10.1017/CBO9781139192361 |
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| 505 | 8 | |a Representation theory of finite groups -- The theory of Gelfand-Tsetlin bases -- The Okounkov-Vershik approach -- Symmetric functions -- Content evaluation and character theory of the symmetric group -- Radon transforms, Specht modules and the Littlewood-Richardson rule -- Finite dimensional *-algebras -- Schur-Weyl dualities and the partition algebra | |
| 520 | |a 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 | ||
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Datensatz im Suchindex
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| author | Ceccherini-Silberstein, Tullio 1966- |
| author_GND | (DE-588)134288920 (DE-588)134289013 (DE-588)13428903X |
| author_facet | Ceccherini-Silberstein, Tullio 1966- |
| author_role | aut |
| author_sort | Ceccherini-Silberstein, Tullio 1966- |
| author_variant | t c s tcs |
| building | Verbundindex |
| bvnumber | BV043940612 |
| classification_rvk | SK 260 |
| collection | ZDB-20-CBO |
| contents | Representation theory of finite groups -- The theory of Gelfand-Tsetlin bases -- The Okounkov-Vershik approach -- Symmetric functions -- Content evaluation and character theory of the symmetric group -- Radon transforms, Specht modules and the Littlewood-Richardson rule -- Finite dimensional *-algebras -- Schur-Weyl dualities and the partition algebra |
| ctrlnum | (ZDB-20-CBO)CR9781139192361 (OCoLC)852522436 (DE-599)BVBBV043940612 |
| dewey-full | 512/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.2 |
| dewey-search | 512/.2 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139192361 |
| format | Electronic eBook |
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| id | DE-604.BV043940612 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9781139192361 |
| language | English |
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| spelling | Ceccherini-Silberstein, Tullio 1966- Verfasser (DE-588)134288920 aut 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 resource (xv, 412 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 121 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Representation theory of finite groups -- The theory of Gelfand-Tsetlin bases -- The Okounkov-Vershik approach -- Symmetric functions -- Content evaluation and character theory of the symmetric group -- Radon transforms, Specht modules and the Littlewood-Richardson rule -- Finite dimensional *-algebras -- Schur-Weyl dualities and the partition algebra 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 Symmetry groups Representations of groups Symmetrische Gruppe (DE-588)4184204-2 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Symmetrische Gruppe (DE-588)4184204-2 s Darstellungstheorie (DE-588)4148816-7 s 1\p DE-604 Scarabotti, Fabio 1966- Sonstige (DE-588)134289013 oth Tolli, Filippo 1968- Sonstige (DE-588)13428903X oth Erscheint auch als Druck-Ausgabe 978-0-521-11817-0 Erscheint auch als Druckausgabe 978-0-521-11817-0 Erscheint auch als Druckausgabe 978-1-107-47191-7 Cambridge studies in advanced mathematics 121 (DE-604)BV044781283 121 https://doi.org/10.1017/CBO9781139192361 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ceccherini-Silberstein, Tullio 1966- Representation theory of the symmetric groups the Okounkov-Vershik approach, character formulas, and partition algebras Cambridge studies in advanced mathematics Representation theory of finite groups -- The theory of Gelfand-Tsetlin bases -- The Okounkov-Vershik approach -- Symmetric functions -- Content evaluation and character theory of the symmetric group -- Radon transforms, Specht modules and the Littlewood-Richardson rule -- Finite dimensional *-algebras -- Schur-Weyl dualities and the partition algebra Symmetry groups Representations of groups Symmetrische Gruppe (DE-588)4184204-2 gnd Darstellungstheorie (DE-588)4148816-7 gnd |
| subject_GND | (DE-588)4184204-2 (DE-588)4148816-7 |
| 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 |
| topic | Symmetry groups Representations of groups Symmetrische Gruppe (DE-588)4184204-2 gnd Darstellungstheorie (DE-588)4148816-7 gnd |
| topic_facet | Symmetry groups Representations of groups Symmetrische Gruppe Darstellungstheorie |
| url | https://doi.org/10.1017/CBO9781139192361 |
| volume_link | (DE-604)BV044781283 |
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