The nodal cubic and quantum groups at roots of unity

被引：2
|
作者：
Kraehmer, Ulrich [1 ]
Martins, Manuel [1 ]
机构：
[1] Tech Univ Dresden, Inst Geometry, Fac Math, D-01062 Dresden, Germany
来源：
JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2020年 / 14卷 / 02期
关键词：
Hopf algebra; plane curve; quantum homogeneous space; coalgebra Galois extension; HOPF-ALGEBRAS;
D O I：
10.4171/JNCG/376
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In a recent article, the coordinate ring of the nodal cubic was given the structure of a quantum homogeneous space. Here the corresponding coalgebra Galois extension is expressed in terms of quantum groups at roots of unity, and is shown to be cleft. Furthermore, the minimal quotient extensions are determined.
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页码：667 / 680
页数：14
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