English

A categorification of cyclotomic rings

Quantum Algebra 2023-05-04 v4 K-Theory and Homology Representation Theory

Abstract

For any natural number n2n \geq 2, we construct a triangulated monoidal category whose Grothendieck ring is isomorphic to the ring of cyclotomic integers On\mathbb{O}_n.

Keywords

Cite

@article{arxiv.1804.01478,
  title  = {A categorification of cyclotomic rings},
  author = {Robert Laugwitz and You Qi},
  journal= {arXiv preprint arXiv:1804.01478},
  year   = {2023}
}

Comments

28 pages. Comments welcome! v2, v3: minor corrections, v4: minor corrections, final version to appear in Quantum Topology

R2 v1 2026-06-23T01:13:54.670Z