Representations of the infinite symmetric group:
Representation theory of big groups is an important and quickly developing part of modern mathematics, giving rise to a variety of important applications in probability and mathematical physics. This book provides the first concise and self-contained introduction to the theory on the simplest yet ve...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York NY ; Port Melbourne ; Delhi ; Singapore
Cambridge University Press
[2017]
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
160 |
| Schlagworte: | |
| Online-Zugang: | Zentralblatt MATH Autorenbiografie Verlagsangaben Inhaltsverzeichnis |
| Zusammenfassung: | Representation theory of big groups is an important and quickly developing part of modern mathematics, giving rise to a variety of important applications in probability and mathematical physics. This book provides the first concise and self-contained introduction to the theory on the simplest yet very nontrivial example of the infinite symmetric group, focusing on its deep connections to probability, mathematical physics, and algebraic combinatorics. Following a discussion of the classical Thoma's theorem which describes the characters of the infinite symmetric group, the authors describe explicit constructions of an important class of representations, including both the irreducible and generalized ones. Complete with detailed proofs, as well as numerous examples and exercises which help to summarize recent developments in the field, this book will enable graduates to enhance their understanding of the topic, while also aiding lecturers and researchers in related areas |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | vii, 160 Seiten |
| ISBN: | 9781107175556 |
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| 520 | |a Representation theory of big groups is an important and quickly developing part of modern mathematics, giving rise to a variety of important applications in probability and mathematical physics. This book provides the first concise and self-contained introduction to the theory on the simplest yet very nontrivial example of the infinite symmetric group, focusing on its deep connections to probability, mathematical physics, and algebraic combinatorics. Following a discussion of the classical Thoma's theorem which describes the characters of the infinite symmetric group, the authors describe explicit constructions of an important class of representations, including both the irreducible and generalized ones. Complete with detailed proofs, as well as numerous examples and exercises which help to summarize recent developments in the field, this book will enable graduates to enhance their understanding of the topic, while also aiding lecturers and researchers in related areas | ||
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Datensatz im Suchindex
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| author | Borodin, Alexei 1975- Olʹšanskij, Grigorij I. 1949- |
| author_GND | (DE-588)133797724 (DE-588)1089250517 |
| author_facet | Borodin, Alexei 1975- Olʹšanskij, Grigorij I. 1949- |
| author_role | aut aut |
| author_sort | Borodin, Alexei 1975- |
| author_variant | a b ab g i o gi gio |
| building | Verbundindex |
| bvnumber | BV044869670 |
| classification_rvk | SK 260 |
| ctrlnum | (OCoLC)963206317 (DE-599)GBV861341058 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV044869670 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:03:21Z |
| institution | BVB |
| isbn | 9781107175556 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030264143 |
| oclc_num | 963206317 |
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| owner | DE-83 |
| owner_facet | DE-83 |
| physical | vii, 160 Seiten |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Borodin, Alexei 1975- Verfasser (DE-588)133797724 aut Representations of the infinite symmetric group Alexei Borodin (Massachusetts Institute of Technology and Institute for Information Transmission Problems of the Russian Academy of Sciences), Grigori Olshanski (Institute for Information Transmission Problems of the Russian Academy of Sciences and National Research University Higher School of Economics, Moscow) Cambridge ; New York NY ; Port Melbourne ; Delhi ; Singapore Cambridge University Press [2017] vii, 160 Seiten txt rdacontent n rdamedia nc rdacarrier Cambridge studies in advanced mathematics 160 Includes bibliographical references and index Representation theory of big groups is an important and quickly developing part of modern mathematics, giving rise to a variety of important applications in probability and mathematical physics. This book provides the first concise and self-contained introduction to the theory on the simplest yet very nontrivial example of the infinite symmetric group, focusing on its deep connections to probability, mathematical physics, and algebraic combinatorics. Following a discussion of the classical Thoma's theorem which describes the characters of the infinite symmetric group, the authors describe explicit constructions of an important class of representations, including both the irreducible and generalized ones. Complete with detailed proofs, as well as numerous examples and exercises which help to summarize recent developments in the field, this book will enable graduates to enhance their understanding of the topic, while also aiding lecturers and researchers in related areas Hopf-Algebra (DE-588)4160646-2 gnd rswk-swf Symmetrische Gruppe (DE-588)4184204-2 gnd rswk-swf Hopf-Algebra (DE-588)4160646-2 s Symmetrische Gruppe (DE-588)4184204-2 s DE-604 Olʹšanskij, Grigorij I. 1949- Verfasser (DE-588)1089250517 aut Cambridge studies in advanced mathematics 160 (DE-604)BV000003678 160 V:DE-601;B:ZBM pdf/application http://zbmath.org/?q=an:1364.20001 Zentralblatt MATH Inhaltstext https://www.loc.gov/catdir/enhancements/fy1618/2016025925-b.html Autorenbiografie https://www.loc.gov/catdir/enhancements/fy1618/2016025925-d.html Verlagsangaben https://www.loc.gov/catdir/enhancements/fy1618/2016025925-t.html Inhaltsverzeichnis |
| spellingShingle | Borodin, Alexei 1975- Olʹšanskij, Grigorij I. 1949- Representations of the infinite symmetric group Cambridge studies in advanced mathematics Hopf-Algebra (DE-588)4160646-2 gnd Symmetrische Gruppe (DE-588)4184204-2 gnd |
| subject_GND | (DE-588)4160646-2 (DE-588)4184204-2 |
| title | Representations of the infinite symmetric group |
| title_auth | Representations of the infinite symmetric group |
| title_exact_search | Representations of the infinite symmetric group |
| title_full | Representations of the infinite symmetric group Alexei Borodin (Massachusetts Institute of Technology and Institute for Information Transmission Problems of the Russian Academy of Sciences), Grigori Olshanski (Institute for Information Transmission Problems of the Russian Academy of Sciences and National Research University Higher School of Economics, Moscow) |
| title_fullStr | Representations of the infinite symmetric group Alexei Borodin (Massachusetts Institute of Technology and Institute for Information Transmission Problems of the Russian Academy of Sciences), Grigori Olshanski (Institute for Information Transmission Problems of the Russian Academy of Sciences and National Research University Higher School of Economics, Moscow) |
| title_full_unstemmed | Representations of the infinite symmetric group Alexei Borodin (Massachusetts Institute of Technology and Institute for Information Transmission Problems of the Russian Academy of Sciences), Grigori Olshanski (Institute for Information Transmission Problems of the Russian Academy of Sciences and National Research University Higher School of Economics, Moscow) |
| title_short | Representations of the infinite symmetric group |
| title_sort | representations of the infinite symmetric group |
| topic | Hopf-Algebra (DE-588)4160646-2 gnd Symmetrische Gruppe (DE-588)4184204-2 gnd |
| topic_facet | Hopf-Algebra Symmetrische Gruppe |
| url | http://zbmath.org/?q=an:1364.20001 https://www.loc.gov/catdir/enhancements/fy1618/2016025925-b.html https://www.loc.gov/catdir/enhancements/fy1618/2016025925-d.html https://www.loc.gov/catdir/enhancements/fy1618/2016025925-t.html |
| volume_link | (DE-604)BV000003678 |
| work_keys_str_mv | AT borodinalexei representationsoftheinfinitesymmetricgroup AT olʹsanskijgrigoriji representationsoftheinfinitesymmetricgroup |