D. Kroes

activity

20182021

collaborators

3 papers

math.CO2021

Packed Words and Quotient Rings

Daniël Kroes, Brendon Rhoades

The coinvariant algebra is a quotient of the polynomial ring $Q [x_{1}, \dots, x_{n}]$ whose algebraic properties are governed by the combinatorics of permutations of length $n$ …

math.CO2019

Random graphs induced by Catalan pairs

Daniël Kroes, Sam Spiro

We consider Catalan-pair graphs, a family of graphs that can be viewed as representing certain interactions between pairs of objects which are enumerated by the Catalan numbers. In…

math.CO2018

Generalized coinvariant algebras for $G (r, 1, n)$ in the Stanley-Reisner setting

Daniël Kroes

Let $r$ and $n$ be positive integers, let $G_{n}$ be the complex reflection group of $n \times n$ monomial matrices whose entries are $r^{th}$ roots of unity and let $0 \leq…

Packed Words and Quotient Rings

Random graphs induced by Catalan pairs

Generalized coinvariant algebras for G(r,1,n) in the Stanley-Reisner setting

Generalized coinvariant algebras for $G (r, 1, n)$ in the Stanley-Reisner setting