The Categorified Heisenberg Algebra I: A Combinatorial Representation

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...

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Bibliographic Details
Main Authors: Morton, J, Vicary, J
Format: Journal article
Published: 2012