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math.AP2018
Spectrum of the Laplacian on Regular Polyhedra
Evan Greif, Daniel Kaplan, Robert S. Strichartz +1
We study eigenvalues and eigenfunctions of the Laplacian on the surfaces of four of the regular polyhedrons: tetrahedron, octahedron, icosahedron and cube. We show two types of eig…
math.RA2018★ 1 cited
Frobenius Degenerations of Preprojective Algebras
Daniel Kaplan
In this paper, we study a preprojective algebra for quivers decorated with -algebras and bimodules, which generalizes work of Gabriel for ordinary quivers, work of Dlab and Ring…