3 citations · 9 across the 15 of their papers we have counts for
17 papers
The nilradical of a seaweed algebra
Vincent E. Coll, Nicholas Mayers
Seaweed subalgebras of and are combinatorially defined matrix Lie algebras whose index admits a closed-form description…
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…
On toral posets and contact Lie algebras
Nicholas W. Mayers, Nicholas Russoniello
A dimensional Lie algebra is called contact if it admits a one-form such that Here, we extend recent work to describe a combinatorial procedure…
Seaweed algebras
Alex Cameron, Vincent E. Coll, Nicholas Mayers +1
The index of a Lie algebra is an important algebraic invariant, but it is notoriously difficult to compute. However, for the suggestively-named seaweed algebras, the computation of…
The breadth of Lie poset algebras
Alex Cameron, Vincent E. Coll, Nicholas Mayers +1
The breadth of a Lie algebra is defined to be the maximal dimension of the image of , for . Here, we initiate an investigation into the breadth of th…