Fixed points and adjacent ascents for classical complex reflection groups

DOI10.1016/j.aam.2018.08.001zbMath1397.05008OpenAlexW2886572350WikidataQ129476352 ScholiaQ129476352MaRDI QIDQ1795491

Francesco Brenti, Mario Marietti

Publication date: 16 October 2018

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2108/225783

zbMATH Keywords

symmetric group equidistribution

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial probability (60C05)

Related Items (1)

Self-reciprocal polynomials connecting unsigned and signed relative derangements

Cites Work

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• Counting derangements, involutions and unimodal elements in the wreath product \(C_r\wr\mathfrak S_n\)
• Counting permutations by the number of successions within cycles
• Counting permutations by successions and other figures
• Permutations and successions
• Unseparated pairs and fixed points in random permutations
• Edgewise Subdivisions, Local $h$-Polynomials, and Excedances in the Wreath Product $\mathbb{Z}_r \wr \mathfrak{S}_n$
• A survey of subdivisions and local $h$-vectors
• Combinatorics of Coxeter Groups
• Permutations by Number of Rises and Successions

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