13 citations · 38 across the 28 of their papers we have counts for
35 papers
Nonunimodal principal spectra of Frobenius parabolic Lie algebras
Vincent E. Coll
Strict unimodality of Ooms spectra fails for Frobenius parabolic Lie algebras beyond the maximal-parabolic class. We construct explicit Frobenius parabolics whose principal multipl…
Ooms spectra of Frobenius maximal parabolics: strict unimodality and Euclidean log-concavity
Vincent E. Coll
We study the Ooms multiplicities of Frobenius maximal parabolics of type~. For with , the Euclidean algorithm relates their potential histograms to t…
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…