The Categorified Heisenberg Algebra I: A Combinatorial Representation
Quantum Algebra
2013-11-14 v2 Category Theory
Abstract
We give an introductory account of Khovanov's categorification of the Heisenberg algebra, and construct a combinatorial model for it in a 2-category of spans of groupoids. We also treat a categorification of in a similar way. These give rise to standard representations on vector spaces through a linearization process.
Cite
@article{arxiv.1207.2054,
title = {The Categorified Heisenberg Algebra I: A Combinatorial Representation},
author = {Jeffrey C. Morton and Jamie Vicary},
journal= {arXiv preprint arXiv:1207.2054},
year = {2013}
}
Comments
37 pages; v2 adds new theorems, examples, improved proofs