An approach to categorification of some small quantum groups II

Creators: Elias, Ben; Qi, You

Abstract

We categorify an idempotented form of quantum sl_2 and some of its simple representations at a prime root of unity.

Additional Information

© 2015 Elsevier Inc. Received 9 October 2013, Revised 20 October 2015, Accepted 21 October 2015, Available online 9 November 2015. Both authors would like to express their deep gratitude towards their advisor Mikhail Khovanov for many years of inspirational education, and for supporting this collaboration. They would also like to thank the anonymous referee for helpful suggestions. The second author would like to thank Bernhard Keller for helpful discussions about DG categories during the introductory workshop "Cluster Algebras and Commutative Algebra", as well as the hospitality of the organizers of the workshop and MSRI. He would also like to thank Mikhail Kapranov for some enlightening discussion about n-complexes. The string diagrams in the paper are created via Krzysztof Putyra's LaTeX package diagcat. The first author is supported by NSF fellowship DMS-1103862. The second author is partially supported by NSF RTG grant DMS-0739392 at Columbia.

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