Young tableaux: with applications to representation theory and geometry
The aim of this book is to develop the combinatorics of Young tableaux and to show them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1997
|
| Schriftenreihe: | London Mathematical Society student texts
35 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 URL des Erstveröffentlichers |
| Zusammenfassung: | The aim of this book is to develop the combinatorics of Young tableaux and to show them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of 'bumping' and 'sliding', and several interesting correspondences. In Part II these results are used to study representations with geometry on Grassmannians and flag manifolds, including their Schubert subvarieties, and the related Schubert polynomials. Much of this material has never appeared in book form.There are numerous exercises throughout, with hints or answers provided. Researchers in representation theory and algebraic geometry as well as in combinatorics will find Young Tableaux interesting and useful; students will find the intuitive presentation easy to follow |
| Beschreibung: | 1 ONline-Ressource (ix, 260 Seiten) |
| ISBN: | 9780511626241 |
| DOI: | 10.1017/CBO9780511626241 |
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| 100 | 1 | |a Fulton, William |d 1939- |e Verfasser |0 (DE-588)136272541 |4 aut | |
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| 490 | 0 | |a London Mathematical Society student texts |v 35 | |
| 520 | |a The aim of this book is to develop the combinatorics of Young tableaux and to show them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of 'bumping' and 'sliding', and several interesting correspondences. In Part II these results are used to study representations with geometry on Grassmannians and flag manifolds, including their Schubert subvarieties, and the related Schubert polynomials. Much of this material has never appeared in book form.There are numerous exercises throughout, with hints or answers provided. Researchers in representation theory and algebraic geometry as well as in combinatorics will find Young Tableaux interesting and useful; students will find the intuitive presentation easy to follow | ||
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Datensatz im Suchindex
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| author | Fulton, William 1939- |
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| 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/CBO9780511626241 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:14Z |
| institution | BVB |
| isbn | 9780511626241 |
| language | English |
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| publishDate | 1997 |
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| spelling | Fulton, William 1939- Verfasser (DE-588)136272541 aut Young tableaux with applications to representation theory and geometry William Fulton Cambridge Cambridge University Press 1997 1 ONline-Ressource (ix, 260 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 35 The aim of this book is to develop the combinatorics of Young tableaux and to show them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of 'bumping' and 'sliding', and several interesting correspondences. In Part II these results are used to study representations with geometry on Grassmannians and flag manifolds, including their Schubert subvarieties, and the related Schubert polynomials. Much of this material has never appeared in book form.There are numerous exercises throughout, with hints or answers provided. Researchers in representation theory and algebraic geometry as well as in combinatorics will find Young Tableaux interesting and useful; students will find the intuitive presentation easy to follow Young tableaux Youngsches Schema (DE-588)4190430-8 gnd rswk-swf Youngsches Tableau (DE-588)4190432-1 gnd rswk-swf Youngsches Tableau (DE-588)4190432-1 s DE-604 Youngsches Schema (DE-588)4190430-8 s Erscheint auch als Druck-Ausgabe 978-0-521-56144-0 Erscheint auch als Druck-Ausgabe 978-0-521-56724-4 https://doi.org/10.1017/CBO9780511626241 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Fulton, William 1939- Young tableaux with applications to representation theory and geometry Young tableaux Youngsches Schema (DE-588)4190430-8 gnd Youngsches Tableau (DE-588)4190432-1 gnd |
| subject_GND | (DE-588)4190430-8 (DE-588)4190432-1 |
| title | Young tableaux with applications to representation theory and geometry |
| title_auth | Young tableaux with applications to representation theory and geometry |
| title_exact_search | Young tableaux with applications to representation theory and geometry |
| title_full | Young tableaux with applications to representation theory and geometry William Fulton |
| title_fullStr | Young tableaux with applications to representation theory and geometry William Fulton |
| title_full_unstemmed | Young tableaux with applications to representation theory and geometry William Fulton |
| title_short | Young tableaux |
| title_sort | young tableaux with applications to representation theory and geometry |
| title_sub | with applications to representation theory and geometry |
| topic | Young tableaux Youngsches Schema (DE-588)4190430-8 gnd Youngsches Tableau (DE-588)4190432-1 gnd |
| topic_facet | Young tableaux Youngsches Schema Youngsches Tableau |
| url | https://doi.org/10.1017/CBO9780511626241 |
| work_keys_str_mv | AT fultonwilliam youngtableauxwithapplicationstorepresentationtheoryandgeometry |