3 citations · 7 across the 13 of their papers we have counts for
4 papers · 1 filter
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…
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…
Seaweed algebras and the unimodal spectrum property
Nicholas Mayers, Nicholas Russoniello
If is a Frobenius Lie algebra, then the spectrum of is an algebraic invariant equal to the multiset of eigenvalues corresponding to a particular opera…
The index and spectrum of Lie poset algebras of type B, C, and D
Vincent E. Coll, Nicholas W. Mayers
In this paper, we define posets of types B, C, and D. These posets encode the matrix forms of certain Lie algebras which lie between the algebras of upper-triangular and diagonal m…