Polynomial representations of GLn
The first half of this book contains the text of the first edition of LNM volume 830, Polynomial Representations of GLn. This classic account of matrix representations, the Schur algebra, the modular representations of GLn, and connections with symmetric groups, has been the basis of much research i...
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| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Σειρά: | Lecture notes in mathematics
830 |
| Θέματα: | |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Polynomial representations of GLn, J. A. Green, 1980, Berlin, Springer, 1 vol. (VI-118 p.), Lecture notes in mathematics, 3-540-10258-2 • Polynomial Representations of GL_n, Texte imprimé, 9783662198407 |
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| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 084 | |a 20C30. 1980 | ||
| 084 | |a 20G05. 1980 | ||
| 100 | 1 | |a Green, James Alexander, |d 1926-2014. | |
| 245 | 1 | 0 | |a Polynomial representations of GLn |c by James A. Green. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 830 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Preface to the second edition -- J. A. Green: Polynomial representations of GLn: 1.Introduction -- 2.Polynomial representations of GL_n(K): The Schur algebra -- 3.Weights and characters -- 4.The module D_{\lambda, K} -- 5.The Carter-Lusztig modules V_{\lambda, K} -- 6.Representation theory of the symmetric group -- Appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker: A. Introduction -- B. The Schensted process -- C. Schensted and Littelmann -- D. Theorem A and some of its consequences -- E. Tables -- Index of Symbols -- References -- Index. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The first half of this book contains the text of the first edition of LNM volume 830, Polynomial Representations of GLn. This classic account of matrix representations, the Schur algebra, the modular representations of GLn, and connections with symmetric groups, has been the basis of much research in representation theory. The second half is an Appendix, and can be read independently of the first. It is an account of the Littelmann path model for the case gln. In this case, Littelmann's 'paths' become 'words', and so the Appendix works with the combinatorics on words. This leads to the repesentation theory of the 'Littelmann algebra', which is a close analogue of the Schur algebra. The treatment is self- contained; in particular complete proofs are given of classical theorems of Schensted and Knuth. | ||
| 650 | |a Mathématiques | ||
| 650 | |a Groupes de symétrie | ||
| 650 | |a Algèbre linéaire | ||
| 650 | |a Représentations de groupes | ||
| 650 | |a Fonctions d'une variable réelle | ||
| 776 | 0 | |0 023695056 |t Polynomial representations of GLn |f J. A. Green |d 1980 |c Berlin |n Springer |p 1 vol. (VI-118 p.) |s Lecture notes in mathematics |z 3-540-10258-2 | |
| 776 | 0 | |t Polynomial Representations of GL_n |b Texte imprimé |z 9783662198407 | |
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