12 citations · 16 across the 10 of their papers we have counts for
5 papers · 1 filter
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…
Toral posets and the binary spectrum property
Vincent Coll, Nicholas Mayers
We introduce a family of posets which generate Lie poset subalgebras of whose index can be realized topologically. In particular, if is suc…
Combinatorial index formulas for Lie algebras of seaweed type
Alex Cameron, Vincent E. Coll, Matthew Hyatt
Analogous to the types A, B, and C cases, we address the computation of the index of seaweed subalgebras in the type-D case. Formulas for the algebra's index can be computed by cou…
The unbroken spectrum of Frobenius seaweeds II: type-B and type-C
Alex Cameron, Vincent E. Coll, Matthew Hyatt +1
Analogous to the Type- case, we show that if is a Frobenius seaweed subalgebra of or ,…
The Flat Plane and a Constructive Proof of Minding's Theorem
Vincent E. Coll, Lee B. Whitt
Minding's most celebrated result is his namesake theorem of 1839 which established that all surfaces having the same constant curvature must be locally isometric. Today, Minding's…