Cyclic quasi-symmetric functions

DOI10.1007/s11856-021-2167-4zbMath1471.05112arXiv1811.05440OpenAlexW3194457795MaRDI QIDQ5918372

Yuval Roichman, Ron M. Adin, Victor Reiner, Ira M. Gessel, Roichman Yuval, Reiner Victor

Publication date: 24 August 2021

Published in: Séminaire Lotharingien de Combinatoire, Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.05440

zbMATH Keywords

non-Escher subringtoric P-partition enumeratorstoric posetscyclic shuffles of permutationsenumeration of cyclic shuffles

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Enumeration in graph theory (05C30) Grassmannians, Schubert varieties, flag manifolds (14M15) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (12)

Pinnacle set properties ⋮ On cyclic Schur-positive sets of permutations ⋮ Cyclic descents, matchings and Schur-positivity ⋮ Powersum bases in quasisymmetric functions and quasisymmetric functions in non-commuting variables ⋮ Enriched toric \([\vec{D}\)-partitions] ⋮ Higher Lie characters and cyclic descent extension on conjugacy classes ⋮ Higher Lie characters and cyclic descent extension on conjugacy classes ⋮ Some refinements of Stanley's shuffle theorem ⋮ Cyclic quasi-symmetric functions ⋮ Cyclic pattern containment and avoidance ⋮ A cyclic analogue of Stanley's shuffling theorem ⋮ Cyclic shuffle compatibility

Uses Software

• SageMath

Cites Work

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