Athanasiadis introduced separating walls for a region in the extended Shi arrangement and used them to generalize the Narayana numbers. In this paper, we fix a hyperplane in the extended Shi arrangement for type A and calculate the number of dominant regions which have the fixed hyperplane as a separating wall; that is, regions where the hyperplane supports a facet of the region and separates the region from the origin.
|Original language||English (US)|
|Number of pages||23|
|Journal||Annals of Combinatorics|
|State||Published - Nov 2013|
- Shi arrangement
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics