120 citations · 245 across the 69 of their papers we have counts for
6 papers · 1 filter
The Dowker theorem via discrete Morse theory
Morten Brun, Darij Grinberg
The Dowker theorem is a classical result in the topology of finite spaces, claiming that any binary relation between two finite spaces defines two homotopy-equivalent complexes (th…
Quasisymmetric expansion of Hall-Littlewood symmetric functions
Darij Grinberg, Ekaterina A. Vassilieva
In our previous works we introduced a -deformation of the generating functions for enriched -partitions. We call the evaluation of this generating functions on labelled chain…
Monomial identities in the Weyl algebra
Darij Grinberg, Tom Roby, Stephan Wagner +1
Motivated by a question and some enumerative conjectures of Richard Stanley, we explore the equivalence classes of words in the Weyl algebra, $\mathbf{k} \left< D,U \mid DU - UD =…
Necklaces over a group with identity product
Darij Grinberg, Peter Mao
We address two variants of the classical necklace counting problem from enumerative combinatorics. In both cases, we fix a finite group and a positive integer . In…
The diagonal derivative of a skew Schur polynomial
Darij Grinberg, Nazar Korniichuk, Kostiantyn Molokanov +1
We prove a formula for the image of a skew Schur polynomial under the differential operator $\nabla:= \dfrac{\partial}{\partial…
A Solomon Mackey formula for graded bialgebras
Darij Grinberg
Given a graded bialgebra , we let and be its iterated (co)multiplications for…