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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Detalhes bibliográficos
Auteurs principaux: Green, James Alexander, 1926-2014, Erdmann, Karin, 1948- (Auteur), Schocker, Manfred, 1970-2006 (Auteur)
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edição:2nd ed. 2007.
Colecção:Lecture Notes in Mathematics 830
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Nota: L'impression du document génère 166 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Version numérique de la seconde édition revue et augmentée
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Polynomial representations of GLn, J. A. Green, by K. Erdmann, J. A. Green and M. Schocker, 2nd corrected and augmented edition, 2007, Berlin, Springer, 1 vol. (IX-161 p.), Lecture notes in mathematics, 978-3-540-46944-5
• Polynomial Representations of GL_n, Texte imprimé, 9783540831761
Descrição
Resumo: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
Descrição do item:L'impression du document génère 166 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Version numérique de la seconde édition revue et augmentée
Bibliografia:Bibliogr. Index
ISBN:9783540469599
ISSN:1617-9692
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Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017