The Eulerian distribution on self evacuated involutions

2008/01/09 by Marilena Barnabei, Barnabei, Marilena, Flavio Bonetti +3
Mathematics · #05A05 #05A15 #05A19 #05E10 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.0801.1390

openalex publication_date 2008/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an extensive study of the Eulerian distribution on the set of self evacuated involutions, namely, involutions corresponding to standard Young tableaux that are fixed under the Sch\textrmutzenberger map. We find some combinatorial properties for the generating polynomial of such distribution, together with an explicit formula for its coefficients. Afterwards, we carry out an analogous study for the subset of self evacuated involutions without fixed points.

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