13 citations · 38 across the 28 of their papers we have counts for
17 papers · 1 filter
Rigidity and Cohomology of Seaweed Lie Algebras
Vincent E. Coll, Alan Hylton
Seaweed (biparabolic) subalgebras form a large and structurally rich class of subalgebras of simple Lie algebras. We determine their adjoint cohomology. If is an ind…
Deformations of Jordan Algebras via the Jordan Defect: An Explicit Low--Degree Deformation Complex
Vincent E. Coll
Over a field of characteristic we give a concrete, computation--ready description of Jordan algebra structures and their low--order deformation theory. The Jordan identity is q…
Classification of contact seaweeds
Vincent E. Coll, Nicholas Russoniello
A celebrated result of Gromov ensures the existence of a contact structure on any connected, non-compact, odd dimensional Lie group. In general, such structures are not invariant u…
Contact seaweeds II: type C
Vincent E. Coll, Nicholas Russoniello
This paper is a continuation of earlier work on the construction of contact forms on seaweed algebras. In the prequel to this paper, we show that every index-one seaweed subalgebra…
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…