Symmetry of Narayana Numbers and Rowvacuation of Root Posets

For a Weyl group W of rank r, the W-Catalan number is the number of antichains of the poset of positive roots, and the W-Narayana numbers refine the W-Catalan number by keeping track of the cardinalities of these antichains. The W-Narayana numbers are symmetric – that is, the number of antichains of...

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Bibliographic Details
Main Authors: Colin Defant, Sam Hopkins
Format: Article
Language:English
Published: Cambridge University Press 2021-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509421000475/type/journal_article

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