A Note On Heisenberg Categorification
Mathematical Physics
2013-07-16 v1 Category Theory
math.MP
Abstract
A categorification of the Heisenberg algebra is constructed in by Khovanov using graphical calculus, and left with a conjecture on the isomorphism between the Heisenberg algebra and Grothendieck ring of the constructed category. We give a proof of Khovanov's conjectured statement in this paper from a categorification of some deformed Heisenberg algebra.
Keywords
Cite
@article{arxiv.1307.4073,
title = {A Note On Heisenberg Categorification},
author = {Na Wang and Zhixi Wang and Ke Wu and Jie Yang and Zifeng Yang},
journal= {arXiv preprint arXiv:1307.4073},
year = {2013}
}
Comments
16 pages; need to run the latex files several times to get all the equation number. arXiv admin note: text overlap with arXiv:1302.4686