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.RA2023
Classification of contact seaweeds
Vincent E. Coll, Nicholas Russoniello
A celebrated result of Gromov ensures the existence of a contact structure on any connected, non-compact, odd dimensional Lie group. In general, such structures are not invariant u…