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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Bibliografski detalji
Glavni autori: Green, James Alexander, 1926-2014, Erdmann, Karin, 1948- (Autor), Schocker, Manfred, 1970-2006 (Autor)
Format: Livre numérique
Jezik:Anglais
Izdano: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Izdanje:2nd ed. 2007.
Serija:Lecture Notes in Mathematics 830
Teme:
Online pristup:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Bilješka: 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
Sadržaj:
  • 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