124 citations · 493 across the 32 of their papers we have counts for
32 papers
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…
Maximally entangled real states and SLOCC invariants: the 3-qutrit case
Hamza Jaffali, Frédéric Holweck, Luke Oeding
The absolute values of polynomial SLOCC invariants (which always vanish on separable states) can be seen as measures of entanglement. We study the case of real 3-qutrit systems and…
A hyperdeterminant on Fermionic Fock Space
Frédéric Holweck, Luke Oeding
Twenty years ago Cayley's hyperdeterminant, the degree four invariant of the polynomial ring $\mathbb{C}[\mathbb{C}^2\otimes\mathbb{C}^2\otimes \mathbb{C}^2]^{{\text{SL}_2(\mathbb{…
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…