English

Cyclicity for categorified quantum groups

Quantum Algebra 2017-11-15 v1 Representation Theory

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.

Keywords

Cite

@article{arxiv.1506.04671,
  title  = {Cyclicity for categorified quantum groups},
  author = {Anna Beliakova and Kazuo Habiro and Aaron D. Lauda and Ben Webster},
  journal= {arXiv preprint arXiv:1506.04671},
  year   = {2017}
}

Comments

12 pages, xy-pic diagrams

R2 v1 2026-06-22T09:53:54.357Z