4 papers
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…
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…
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…
Self-Generated Measures and the Centroid Rigidity of Power Laws
Vincent E. Coll, Jr. abd Lee B. Whitt
We revisit a classical calculus computation: the centroid of the subgraph of a function on the interval from 0 to a, and show that it hides a rigidity theorem. Let f be twice conti…