3 papers
math.CO2024
Shellability of Kohnert posets
Celia Kerr, Nicholas W. Mayers, Nicholas Russoniello
In this paper, we are concerned with identifying among the family of posets associated with Kohnert polynomials, those whose order complex has a certain combinatorial property. In…
math.CO2024
Contact Lie poset algebras of types B, C, and D
Nicholas Mayers, Nicholas Russoniello
We extend a recently established combinatorial index formula applying to Lie poset algebras of types B, C, and D. Then, using the extended index formula, we determine a characteriz…
math.CO2023
On ranked and bounded Kohnert posets
Laura Colmenarejo, Felix Hutchins, Nicholas Mayers +1
In this paper, we explore combinatorial properties of the posets associated with Kohnert polynomials. In particular, we determine a sufficient condition guaranteeing when such ``Ko…