A categorification of quantum $\mathrm{sl}(n)$

Mikhail Khovanov; Aaron D. Lauda

doi:10.4171/qt/1

JournalsqtVol. 1, No. 1pp. 1–92

A categorification of quantum $sl (n)$

Mikhail Khovanov
Columbia University, New York, USA
Aaron D. Lauda
University of Southern California, Los Angeles, United States

$A categorification of quantum $\mathrm{sl}(n)$ cover$

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Abstract

To an arbitrary root datum we associate a 2-category. For root datum corresponding to sl(n) we show that this 2-category categorifies the idempotented form of the quantum enveloping algebra.

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Mikhail Khovanov, Aaron D. Lauda, A categorification of quantum $sl (n)$ . Quantum Topol. 1 (2010), no. 1, pp. 1–92

DOI 10.4171/QT/1