2 papers
math.AG2024
Border Ranks of Monomials
Luke Oeding
Young flattenings, introduced by Landsberg and Ottaviani, give determinantal equations for secant varieties and their non-vanishing provides lower bounds for border ranks of tensor…
math.AG2024
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…