Abstract
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) |
|---|---|
| Title of host publication | FPSAC'11 - 23rd International Conference on Formal Power Series and Algebraic Combinatorics |
| Pages | 351-362 |
| Number of pages | 12 |
| State | Published - 2011 |
| Event | 23rd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'11 - Reykjavik, Iceland Duration: Jun 13 2011 → Jun 17 2011 |
Other
| Other | 23rd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'11 |
|---|---|
| Country/Territory | Iceland |
| City | Reykjavik |
| Period | 6/13/11 → 6/17/11 |
Keywords
- Partitions
- Shi arrangement
ASJC Scopus subject areas
- Algebra and Number Theory