Categorification of the Heisenberg algebra and MacMahon function

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

Categorification of the Heisenberg algebra and MacMahon function

Mathematical Physics 2013-07-16 v2 math.MP

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

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.

Keywords

special functions

Cite

@article{arxiv.1302.4686,
  title  = {Categorification of the Heisenberg algebra and MacMahon function},
  author = {Na Wang and Zhixi Wang and Ke Wu and Jie Yang and Zifeng Yang},
  journal= {arXiv preprint arXiv:1302.4686},
  year   = {2013}
}

Comments

substantial exposition added from the first version, 22 pages

Categorification of the Heisenberg algebra and MacMahon function

Abstract

Keywords

Cite

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