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arXiv · 1207.2054

The Categorified Heisenberg Algebra I: A Combinatorial Representation

Jeffrey C. Morton·Jamie Vicary
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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 $U(sl_n)$ in a similar way. These give rise to standard representations on vector spaces through a linearization process.

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Jeffrey C. Morton, Jamie Vicary. 2013-11-13. The Categorified Heisenberg Algebra I: A Combinatorial Representation. https://arxiv.org/abs/1207.2054

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