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20082026
most citedHopf Algebras in Combinatorics

120 citations · 245 across the 69 of their papers we have counts for

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Showing 2023Show all

7 papers · 1 filter

math.CO2023

The Pak--Postnikov and Naruse skew hook length formulas: a new proof

Darij Grinberg, Nazar Korniichuk, Kostiantyn Molokanov +1

The classical hook length formula of enumerative combinatorics expresses the number of standard Young tableaux of a given partition shape as a single fraction. In recent years, two…

math.CO2023★ 2 cited

Commutator nilpotency for somewhere-to-below shuffles

Darij Grinberg

Given a positive integer , we consider the group algebra of the symmetric group . In this algebra, we define elements by the formula \[ t_{…

math.CO2023★ 1 cited

The enriched -monomial basis of the quasisymmetric functions

Darij Grinberg, Ekaterina A. Vassilieva

We construct a new family of quasisymmetric functions for each element of the base ring. We call them the "en…

math.CO2023★ 1 cited

The Redei--Berge symmetric function of a directed graph

Darij Grinberg, Richard P. Stanley

Let be a digraph with vertices, where each arc is a pair of two vertices. We study the \emph{Redei--Berge symmetric functio…

math.CO2023

Multislant matrices and Jacobi--Trudi determinants over finite fields

Omesh Dhar Dwivedi, Jonah Blasiak, Darij Grinberg

The problem of counting the -valued points of a variety has been well-studied from algebro-geometric, topological, and combinatorial perspectives. We explore a combin…

math.RA2023

The entry sum of the inverse Cauchy matrix

Darij Grinberg

Let be numbers, and be further numbers chosen such that all pairwise sums are nonzero. Consider…