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Categorification of the Heisenberg algebra and MacMahon function (1302.4686v2)
Published 19 Feb 2013 in math-ph and math.MP
Abstract: Starting from a one dimensional vector space, we construct a categorification $'\mathcal H$ of a deformed Heiserberg algebra $'H$ by Cautis and Licata's method. The Grothendieck ring of $'\mathcal H$ is $'H$. As an application, we discuss some related partition functions related to the MacMahon function of 3D Young diagram. We expect further applications of the results of this paper.