International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 892387, 34 pages
Research Article

The Khovanov-Lauda 2-Category and Categorifications of a Level Two Quantum 𝔰𝔩n Representation

Department of Mathematics, University of California Berkeley, Berkeley, CA 94720-3840, USA

Received 18 March 2010; Accepted 29 April 2010

Academic Editor: Aaron Lauda

Copyright © 2010 David Hill and Joshua Sussan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We construct 2-functors from a 2-category categorifying quantum 𝔰𝔩n to 2-categories categorifying the irreducible representation of highest weight 2ωk.