Cyclic descents and \(P\)-partitions.

DOI10.1007/s10801-005-4532-5zbMath1107.20011arXivmath/0405479OpenAlexW2010474875MaRDI QIDQ2574987

T. Kyle Petersen

Publication date: 5 December 2005

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

Full work available at URL: https://arxiv.org/abs/math/0405479

zbMATH Keywords

Weyl groupsCoxeter groupsdescent algebrashyperoctahedral groupsgroup algebras of symmetric groupsnumbers of descents

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

Eulerian polynomials and descent statistics, Descent generating polynomials and the Hermite-Biehler theorem, Enriched \(P\)-partitions and peak algebras, Refined cyclic sieving on words for the major index statistic, On rotated Schur-positive sets, Analysis of casino shelf shuffling machines, The colored Eulerian descent algebra, Cyclic descents for near-hook and two-row shapes, Rooted quasi-Stirling permutations of general multisets, Counting king permutations on the cylinder, The Steinberg torus of a Weyl group as a module over the Coxeter complex, Schur-positive sets of permutations via products and grid classes, The Hopf algebras of signed permutations, of weak quasi-symmetric functions and of Malvenuto-Reutenauer, Cyclic descents for general skew tableaux, Bijective proofs of shuffle compatibility results, Cyclic quasi-symmetric functions, Cyclic permutations: degrees and combinatorial types, Affine descents and the Steinberg torus

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