An Introduction to Quasisymmetric Schur Functions by Kurt Luoto Stefan Mykytiuk & Stephanie van Willigenburg

Author:Kurt Luoto, Stefan Mykytiuk & Stephanie van Willigenburg
Language: eng
Format: epub
Publisher: Springer New York, New York, NY

2.to the right of and below the vertex w i if .

Example 3.3.15.

Let (w, γ) be the labelled chain with order and labelling γ that maps , , and . Below each vertex w i of the zigzag diagram of (w, γ), we have written the value f(w i ) of a (w, γ)-partition f.

The appearance of a zigzag diagram suggests the following terminology.

Definition 3.3.16.

Let (w, γ) be a labelled chain with order We say the number i is a descent of (w, γ) if , and an ascent if .

The set of all descents of (w, γ) is denoted by D(w, γ).

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.