The categorified Heisenberg algebra I:: A combinatorial representation

Jeffrey C. Morton; Jamie Vicary

doi:10.1016/j.jpaa.2017.05.004

The categorified Heisenberg algebra I: A combinatorial representation

Jeffrey C. Morton, Jamie Vicary

Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

We show how Khovanov’s categorification of the Heisenberg algebra arises as a linearization of a discrete combinatorial structure in the bicategory of spans of groupoids. We also treat a categorification of U(s1_n)in a similar way.

Original language	English
Pages (from-to)	703-745
Journal	Journal of Pure and Applied Algebra
Volume	222
Issue number	3
Early online date	18 May 2017
DOIs	https://doi.org/10.1016/j.jpaa.2017.05.004
Publication status	Published - 1 Mar 2018

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title = "The categorified Heisenberg algebra I:: A combinatorial representation",

abstract = "We show how Khovanov{\textquoteright}s categorification of the Heisenberg algebra arises as a linearization of a discrete combinatorial structure in the bicategory of spans of groupoids. We also treat a categorification of U(s1n)in a similar way.",

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The categorified Heisenberg algebra I: A combinatorial representation

Abstract

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