12 citations · 16 across the 10 of their papers we have counts for
5 papers · 1 filter
The unbroken spectra of Frobenius seaweeds
Alex Cameron, Vincent E. Coll, Matthew Hyatt +1
We show that if is a Frobenius seaweed, then the spectrum of the adjoint of a principal element consists of an unbroken set of integers whose multiplicities have a s…
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…
The index of Lie poset algebras
Vincent E. Coll, Nick W. Mayers
We provide general closed-form formulas for the index of type-A Lie poset algebras corresponding to posets of restricted height. Furthermore, we provide a combinatorial recipe for…
Statistics on integer partitions arising from seaweed algebras
Vincent Coll, Andrew Mayers, Nick Mayers
Using the index theory of seaweed algebras, we explore various new integer partition statistics. We find relations to some well-known varieties of integer partitions as well as a s…
On compositions associated to seasweed subalgebras of sl(n)
Vincent E. Coll, Aria Dougherty, Matthew Hyatt +2
A standard seaweed subalgebra of may be parametrized by a pair of compositions of the positive integer . For all and certain , we provide cl…