Darij Grinberg

most citedCommutator nilpotency for somewhere-to-below shuffles

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

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 $n$ , we consider the group algebra of the symmetric group $S_{n}$ . In this algebra, we define $n$ elements $t_{1}, t_{2}, \dots, t_{n}$ by the formula \[ t_{…

math.RA2023

The entry sum of the inverse Cauchy matrix

Darij Grinberg

Let $x_{1}, x_{2}, \dots, x_{n}$ be $n$ numbers, and $y_{1}, y_{2}, \dots, y_{n}$ be $n$ further numbers chosen such that all $n^{2}$ pairwise sums $x_{i} + y_{j}$ are nonzero. Consider…