The categorified Heisenberg algebra I: A combinatorial representation

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  • State University of New York (SUNY), Buffalo State


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(s1n)in a similar way.


Original languageEnglish
Pages (from-to)703-745
JournalJournal of Pure and Applied Algebra
Issue number3
Early online date18 May 2017
Publication statusPublished - 1 Mar 2018