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

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Bibliographic Details
Main Author:	Krattenthaler, C. (Christian), 1958- (Author)
Format:	eBook
Language:	English
Published:	Providence, Rhode Island : American Mathematical Society, 1995.
Series:	Memoirs of the American Mathematical Society ; no. 552.
Subjects:	Generating functions. Lattice paths. Young tableaux. Hypergeometric series. Generating functions Hypergeometric series Lattice paths Young tableaux
Online Access:	Click for online access

Table of Contents:

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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