The peak algebra of the symmetric group

DOI10.1023/A:1025000905826zbMath1021.06003OpenAlexW1494716939MaRDI QIDQ1408259

Kathryn L. Nyman

Publication date: 15 September 2003

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025000905826

zbMATH Keywords

peaksquasisymmetric functionsSolomon's descent algebra

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorics of partially ordered sets (06A07) Symmetric groups (20B30)

Related Items

Peaks on Graphs, Central limit theorem for peaks of a random permutation in a fixed conjugacy class of \(S_n\), Random walks on quasisymmetric functions, Shuffle-compatible descent statistics and quotients of quasisymmetric functions, Shuffle-compatible permutation statistics, The peak algebra and the descent algebras of types B and D, Enriched \(P\)-partitions and peak algebras, Analysis of casino shelf shuffling machines, The peak algebra and the Hecke-Clifford algebras at \(q=0\), Floodings of metric graphs, Colored posets and colored quasisymmetric functions, The peak algebra of the symmetric group revisited., New results on the peak algebra., The pinnacle set of a permutation, Coloured peak algebras and Hopf algebras., Cyclic descents and \(P\)-partitions., Twisted descent algebras and the Solomon-Tits algebra.

Cites Work

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