Hopf dreams

zbMath1436.05119MaRDI QIDQ2306468

Ceballos Cesar, Pilaud Vincent, Nantel Bergeron

Publication date: 23 March 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2019//19.html

zbMATH Keywords

Hopf algebraTamari latticepipe dreammultivariate diagonal harmonics

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hopf algebras and their applications (16T05)

Related Items (7)

A pair of dual Hopf algebras on permutations ⋮ The \(\nu \)-Tamari lattice via \(\nu \)-trees, \( \nu \)-bracket vectors, and subword complexes ⋮ Bijective link between Chapoton's new intervals and bipartite planar maps ⋮ The steep-bounce zeta map in parabolic Cataland ⋮ Hopf dreams ⋮ Explicit combinatorial formulas for some irreducible characters of the \(\mathrm{GL}_k \times \mathbb S_n\)-module of multivariate diagonal harmonics ⋮ The steep-bounce zeta map in parabolic Cataland

Cites Work

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• Multivariate diagonal coinvariant spaces for complex reflection groups
• Maximal fillings of Moon polyominoes, simplicial complexes, and Schubert polynomials
• Multitriangulations, pseudotriangulations and primitive sorting networks
• Gröbner geometry of Schubert polynomials
• Hopf algebra of the planar binary trees
• Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
• A combinatorial formula for the character of the diagonal coinvariants
• A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
• The \(\nu \)-Tamari lattice via \(\nu \)-trees, \( \nu \)-bracket vectors, and subword complexes
• Hopf dreams
• Higher trivariate diagonal harmonics via generalized Tamari posets
• Walks with small steps in the quarter plane
• RC-Graphs and Schubert Polynomials
• A proof of the shuffle conjecture
• The enumeration of generalized Tamari intervals

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