A categorification of cyclotomic rings

被引：0

作者：

Laugwitz, Robert ^{[1
]}

Qi, You ^{[2
]}

机构：

[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

[2] Univ Virginia, Dept Math, 141 Cabell Dr,Kerchof Hall, Charlottesville, VA 22904 USA

来源：

QUANTUM TOPOLOGY | 2022年 / 13卷 / 03期

关键词：

Categorification; Hopfological algebra; cyclotomic rings; Hopf algebras; stable category; QUANTUM GROUPS; HOPF;

D O I：

10.4171/QT/172

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any natural number n > 2, we construct a triangulated monoidal category whose Grothendieck ring is isomorphic to the ring of cyclotomic integers On. This construction provides an affirmative resolution to a problem raised by Khovanov in 2005.

引用

页码：539 / 578

页数：40

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