English

Constructing categorical idempotents

Algebraic Topology 2020-02-25 v2 Quantum Algebra

Abstract

We give a general construction of categorical idempotents which recovers the categorified Jones-Wenzl projectors, categorified Young symmetrizers, and other constructions as special cases. The construction is intimately tied to cell theory in the sense of additive monoidal categories.

Keywords

Cite

@article{arxiv.2002.08905,
  title  = {Constructing categorical idempotents},
  author = {Matthew Hogancamp},
  journal= {arXiv preprint arXiv:2002.08905},
  year   = {2020}
}

Comments

25 pages; v2 fixes typos and some missing figures

R2 v1 2026-06-23T13:48:28.597Z