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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Auteur principal: Green, James Alexander, 1926-2014
Format: Livre numérique
Langue:Anglais
Publié: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Collection:Lecture notes in mathematics 830
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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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Résumé: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.
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Archives Springer e-books (Licence nationale)
ISBN:9783540383796 (PDF)
ISSN:1617-9692
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