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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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| Auteurs principaux : | , , |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Polynomial Representations of GLn / J. A. Green. with an appendix on Schensted correspondence and Littelmann paths / by Karin Erdmann, James A. Green and Manfred Schocker |
| Édition : | 2nd ed. 2007. |
| Publié : |
Berlin, Heidelberg :
Springer Berlin Heidelberg
, [20..] Cham : Springer Nature |
| Collection : | Lecture notes in mathematics (Internet) ; 830 |
| Titre de l'ensemble : | Lecture Notes in Mathematics vol. 830 |
| Accès en ligne : |
Accès Nantes Université
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| Note sur l'URL : | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex |
| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Reproduction de : | Version numérique de la seconde édition revue et augmentée |
| Sujets : | |
| Documents associés : | Autre format:
Polynomial representations of GLn Autre format: Polynomial Representations of GL_n |
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| 200 | 1 | |a Polynomial Representations of GLn |f J. A. Green |c with an appendix on Schensted correspondence and Littelmann paths |f by Karin Erdmann, James A. Green and Manfred Schocker | |
| 205 | |a 2nd ed. 2007. | ||
| 214 | 0 | |a Berlin, Heidelberg |c Springer Berlin Heidelberg | |
| 214 | 2 | |a Cham |c Springer Nature |d [20..] | |
| 225 | 1 | |a Lecture Notes in Mathematics |x 1617-9692 |v 830 | |
| 303 | |a L'impression du document génère 166 p. | ||
| 320 | |a Bibliogr. Index | ||
| 324 | |a Version numérique de la seconde édition revue et augmentée | ||
| 330 | |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 | ||
| 359 | 2 | |b Preface to the second edition |b J. A. Green: Polynomial representations of GLn |b 1.Introduction |b 2.Polynomial representations of GL_n(K): The Schur algebra |b 3.Weights and characters |b 4.The module D_{\lambda, K} |b 5.The Carter-Lusztig modules V_{\lambda, K} |b 6.Representation theory of the symmetric group |b Appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker: A. Introduction |b B. The Schensted process |b C. Schensted and Littelmann |b D. Theorem A and some of its consequences |b E. Tables |b Index of Symbols |b References |b Index | |
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| 452 | | | |0 111286204 |t Polynomial representations of GLn |f J. A. Green |f by K. Erdmann, J. A. Green and M. Schocker |e 2nd corrected and augmented edition |d 2007 |c Berlin |n Springer |p 1 vol. (IX-161 p.) |s Lecture notes in mathematics |y 978-3-540-46944-5 | |
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