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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Dettagli Bibliografici
Autore principale: Green, James Alexander, 1926-2014
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serie:Lecture notes in mathematics 830
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Accesso online:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
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Nota: 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
Sommario:
  • 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.