A categorification of cyclotomic rings

IF 1 2区数学 Q1 MATHEMATICS

Quantum Topology Pub Date : 2018-04-04 DOI:10.4171/QT/172

Robert Laugwitz, You Qi

引用次数: 2

Abstract

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

查看原文本刊更多论文

切眼环的分类

对于任意自然数$n \geq 2$，我们构造了一个三角化的一元范畴，其Grothendieck环同构于分环整数环$\mathbb{O}_n$。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Quantum Topology Mathematics-Geometry and Topology

CiteScore

1.80

自引率

9.10%

发文量

期刊介绍： Quantum Topology is a peer reviewed journal dedicated to publishing original research articles, short communications, and surveys in quantum topology and related areas of mathematics. Topics covered include in particular: Low-dimensional Topology Knot Theory Jones Polynomial and Khovanov Homology Topological Quantum Field Theory Quantum Groups and Hopf Algebras Mapping Class Groups and Teichmüller space Categorification Braid Groups and Braided Categories Fusion Categories Subfactors and Planar Algebras Contact and Symplectic Topology Topological Methods in Physics.