The major counting of nonintersecting lattice paths and generating functions for tableaux /

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Krattenthaler, C. (Christian), 1958- (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Providence, Rhode Island : American Mathematical Society, 1995.
Collection:Memoirs of the American Mathematical Society ; no. 552.
Sujets:
Generating functions.
Lattice paths.
Young tableaux.
Hypergeometric series.
Fonctions génératrices.
Chemins de treillis.
Young, Tableaux de.
Séries hypergéométriques.
Generating functions
Hypergeometric series
Lattice paths
Young tableaux
Accès en ligne:Texto completo
Table des matières:
  • Contents
  • I. Introduction
  • II. Definitions and Preliminaries
  • 2.1 Definitions and Notation
  • 2.2 Two involutions and nonintersecting lattice paths
  • III. Counting by Major Index
  • 3.1 Without restrictions
  • 3.2 With a diagonal boundary
  • 3.3 Tableaux generating functions
  • IV. Counting by Strange Major Index
  • 4.1 Without restrictions
  • 4.2 With a diagonal boundary
  • 4.3 Tableaux generating functions
  • V. Detailed Proofs and Auxiliary Results
  • 5.1 The major index and strange major index generating functions for lattice paths without restrictions5.2 A correspondence for lattice paths that cross the line x = y
  • 5.3 A correspondence for pairs of intersecting lattice paths
  • 5.4 Correspondences between tableaux and nonintersecting lattice paths
  • 5.5 A determinant lemma
  • 5.6 A multiple basic hypergeometric summation
  • References

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