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math.CO2018
Classification of external Zonotopal algebras
Gleb Nenashev
In this paper we work with power algebras associated to hyperplane arrangements. There are three main types of these algebras, namely, external, central, and internal zonotopal alg…
math.AC2018
On ideals generated by two generic quadratic forms in the exterior algebra
Veronica Crispin Quiñonez, Samuel Lundqvist, Gleb Nenashev
Based on the structure theory of pairs of skew-symmetric matrices, we give a conjecture for the Hilbert series of the exterior algebra modulo the ideal generated by two generic qua…
math.CO2018★ 2 cited
Trianguloids and Triangulations of Root Polytopes
Pavel Galashin, Gleb Nenashev, Alexander Postnikov
Triangulations of a product of two simplices and, more generally, of root polytopes are closely related to Gelfand-Kapranov-Zelevinsky's theory of discriminants, to tropical geomet…