4 citations · 6 across the 3 of their papers we have counts for
7 papers
Differential operators on Schur and Schubert polynomials
Gleb Nenashev
This paper deals with decreasing operators on back stable Schubert polynomials. We study two operators and of degree , which satisfy the Leibniz rule. Furthermore,…
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…
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…
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…
On -deformations of Postnikov-Shapiro algebras
Anatol N. Kirillov, Gleb Nenashev
For any given loopless graph , we introduce - deformations of its Postnikov-Shapiro algebras counting spanning trees, counting spanning forests and - deformations of int…
"K-theoretic" analog of Postnikov-Shapiro algebra distinguishes graphs
G. Nenashev, B. Shapiro
In this paper we study a filtered "K-theoretical" analog of a graded algebra associated to any loopless graph G which was introduced in \cite{PS}. We show that two such filtered al…