The Khovanov-Lauda 2-category and categorifications of a level two quantum sl(n) representation

Abstract

We construct 2-functors from a 2-category categorifying quantum sl(n) to 2-categories categorifying the irreducible representation of highest weight $2{\omega }_k.$

References in corpus (5)

• 2-Kac-Moody algebras
• Graded decomposition numbers for cyclotomic Hecke algebras
• sl(3)-Foams and the Khovanov-Lauda categorification of quantum sl(k)
• Matrix factorizations and intertwiners of the fundamental representations of quantum group U_q (sl_n)
• Matrix factorizations and colored MOY graphs