124 citations · 493 across the 32 of their papers we have counts for
27 papers · 1 filter
Equilibria for Networks of Linear Translational Springs
Luke Oeding, Ethan Clayton, Jackson Elsea +2
We use tools from nonlinear algebra to study the equilibria of small linear translational spring networks. Specifically we use the techniques of homotopy continuation, monodromy, a…
ExteriorExtensions: A package for Macaulay2
Luke Oeding
We explain a Macaulay2 implementation of a construction, which appeared in [Holweck-Oeding arXiv:2206.13662], of a graded algebra structure on the direct sum of a Lie algebra $\mat…
Restricted Secant Varieties of Grassmannians
Dalton Bidleman, Luke Oeding
Restricted secant varieties of Grassmannians are constructed from sums of points corresponding to -planes with the restriction that their intersection has a prescribed dimension…
Toward Jordan Decompositions of Tensors
Frederic Holweck, Luke Oeding
We expand on an idea of Vinberg to take a tensor space and the natural Lie algebra that acts on it and embed their direct sum into an auxiliary algebra. Viewed as endomorphisms of…
A Translation of "Classification of four-vectors of an 8-dimensional space," by Antonyan, L. V. , with an appendix by the translator
Luke Oeding
We give a translation of the article by L. V. Antonyan, "Classification of four-vectors of an eight-dimensional space," Trudy Sem. Vektor. Tenzor. Anal. 20 (1981), 144-161. MR62201…
Hyperdeterminants from the Discriminant
Frédéric Holweck, Luke Oeding
We find expressions of the polynomials defining the dual varieties of Grassmannians and both in terms of the fundamental invariants and in terms of a generic se…