Representation theory of the symmetric groups: the Okounkov-Vershik approach, character formulas, and partition algebras
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2010
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge studies in advanced mathematics
121 |
| Schlagwörter: | |
| Abstract: | "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"--Provided by publisher. |
| Umfang: | XV, 412 S. graph. Darst. |
| ISBN: | 9780521118170 |
Internformat
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| 490 | 1 | |a Cambridge studies in advanced mathematics |v 121 | |
| 520 | 3 | |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"--Provided by publisher. | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 202f 2010 A 4885 |
|---|---|
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| author | Ceccherini-Silberstein, Tullio 1966- Scarabotti, Fabio 1966- Tolli, Filippo 1968- |
| author_GND | (DE-588)134288920 (DE-588)134289013 (DE-588)13428903X |
| author_facet | Ceccherini-Silberstein, Tullio 1966- Scarabotti, Fabio 1966- Tolli, Filippo 1968- |
| author_role | aut aut aut |
| author_sort | Ceccherini-Silberstein, Tullio 1966- |
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| bvnumber | BV036097886 |
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| callnumber-raw | QA176 |
| callnumber-search | QA176 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 260 |
| classification_tum | MAT 202f |
| ctrlnum | (OCoLC)463454307 (DE-599)BVBBV036097886 |
| 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 |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV036097886 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T14:06:49Z |
| institution | BVB |
| isbn | 9780521118170 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018988337 |
| oclc_num | 463454307 |
| open_access_boolean | |
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| owner_facet | DE-19 DE-BY-UBM DE-384 DE-634 DE-91G DE-BY-TUM DE-11 DE-824 |
| physical | XV, 412 S. graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spellingShingle | Ceccherini-Silberstein, Tullio 1966- Scarabotti, Fabio 1966- Tolli, Filippo 1968- Representation theory of the symmetric groups the Okounkov-Vershik approach, character formulas, and partition algebras Cambridge studies in advanced mathematics Representations of groups Symmetry 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 | Representations of groups Symmetry groups Symmetrische Gruppe (DE-588)4184204-2 gnd Darstellungstheorie (DE-588)4148816-7 gnd |
| topic_facet | Representations of groups Symmetry groups Symmetrische Gruppe Darstellungstheorie |
| volume_link | (DE-604)BV000003678 |
| work_keys_str_mv | AT ceccherinisilbersteintullio representationtheoryofthesymmetricgroupstheokounkovvershikapproachcharacterformulasandpartitionalgebras AT scarabottifabio representationtheoryofthesymmetricgroupstheokounkovvershikapproachcharacterformulasandpartitionalgebras AT tollifilippo representationtheoryofthesymmetricgroupstheokounkovvershikapproachcharacterformulasandpartitionalgebras |
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 202f 2010 A 4885
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |