Ordered set partition statistics and the delta conjecture

DOI10.1016/j.jcta.2017.08.017zbMath1373.05006arXiv1605.04007OpenAlexW2962910675WikidataQ122962522 ScholiaQ122962522MaRDI QIDQ1679329

Brendon Rhoades

Publication date: 9 November 2017

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04007

zbMATH Keywords

symmetric functionmajor indexpermutation statisticordered set partition

Mathematics Subject Classification ID

Partitions of sets (05A18) Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05)

Related Items (24)

A minimaj-preserving crystal structure on ordered multiset partitions ⋮ Set superpartitions and superspace duality modules ⋮ Schedules and the Delta Conjecture ⋮ Higher Specht bases for generalizations of the coinvariant ring ⋮ A valley version of the delta square conjecture ⋮ Decorated Dyck Paths, Polyominoes, and the Delta Conjecture ⋮ A minimaj-preserving crystal on ordered multiset partitions ⋮ Generalized coinvariant algebras for wreath products ⋮ Vandermondes in superspace ⋮ Vandermondes, superspace, and delta conjecture modules ⋮ The Delta Conjecture ⋮ Spanning subspace configurations ⋮ Hall-Littlewood expansions of Schur delta operators at \(t=0\). ⋮ A proof of the delta conjecture when \(q=0\) ⋮ Ordered set partitions and the 0-Hecke algebra ⋮ Ordered set partitions and the 0-Hecke algebra ⋮ Unnamed Item ⋮ Harmonic bases for generalized coinvariant algebras ⋮ Spanning line configurations ⋮ Delta conjectures ⋮ The valley version of the extended delta conjecture ⋮ A flag variety for the Delta Conjecture ⋮ From \(q\)-Stirling numbers to the ordered multiset partitions: a viewpoint from vincular patterns ⋮ A Proof of the Extended Delta Conjecture

Cites Work

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• Statistics on wreath products, perfect matchings, and signed words
• An extension of MacMahon's equidistribution theorem to ordered multiset partitions
• A minimaj-preserving crystal on ordered multiset partitions
• A combinatorial formula for the character of the diagonal coinvariants
• Group actions on Stanley-Reisner rings and invariants of permutation groups
• An extension of MacMahon's equidistribution theorem to ordered set partitions
• Enumeration of plane partitions
• A Combinatorial Property of q-Eulerian Numbers
• The Delta Conjecture
• The flag major index and group actions on polynomial rings.

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