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paper

Cyclicity for categorified quantum groups

arXiv:1506.04671 · doi:10.1016/j.jalgebra.2015.11.041

Abstract

We equip the categorified quantum group attached to a KLR algebra and an arbitrary choice of scalars with duality functor which is cyclic, that is, such that f=f^** for all 2-morphisms f. This is accomplished via a modified diagrammatic formalism.

12 pages, xy-pic diagrams