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math.CO2019
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…
math.RA2019
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…