1302.4686 (Na Wang et al.)

Categorification of the Heisenberg algebra and MacMahon function    [PDF]

Na Wang, Zhixi Wang, Ke Wu, Jie Yang, Zifeng Yang

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.

View original: http://arxiv.org/abs/1302.4686