Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, EpiSciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Conference papers

Counting Shi regions with a fixed separating wall

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.
Complete list of metadata

Cited literature [11 references]  Display  Hide  Download
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Tuesday, October 13, 2015 - 3:06:55 PM
Last modification on : Wednesday, August 7, 2019 - 12:19:20 PM
Long-term archiving on: : Thursday, April 27, 2017 - 12:19:38 AM


Publisher files allowed on an open archive




Susanna Fishel, Eleni Tzanaki, Monica Vazirani. Counting Shi regions with a fixed separating wall. 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.351-362, ⟨10.46298/dmtcs.2916⟩. ⟨hal-01215106⟩



Record views


Files downloads