Braided quantum SU(2) groups

被引：14

作者：

Kasprzak, Pawel ^{[1
]}

Meyer, Ralf ^{[2
]}

Roy, Sutanu ^{[3
]}

Woronowicz, Stanislaw Lech ^{[4
,5
]}

机构：

[1] Uniwersytet Warszawski, Wydzial Fizyki, Katedra Metod Matematycznych Fizyki, Pasteura 5, PL-02093 Warsaw, Poland

[2] Georg August Univ Gottingen, Math Inst, Bunsenstr 3-5, D-37073 Gottingen, Germany

[3] Natl Inst Sci Educ & Res Bhubaneswar, HBNI, Sch Math Sci, Jatni 752050, India

[4] Uniwersytet Warszawski, Inst Matematyczny PAN, Pasteura 5, PL-02093 Warsaw, Poland

[5] Uniwersytet Warszawski, Wydzial Fizyki, Katedra Metod Matematycznych Fizyki, Pasteura 5, PL-02093 Warsaw, Poland

来源：

JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2016年 / 10卷 / 04期

关键词：

Braided compact quantum group; SUq(2); U-q(2); EXAMPLES;

D O I：

10.4171/JNCG/268

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a family of q-deformations of SU(2) for complex parameters q not equal 0. For real q, the deformation coincides with Woronowicz' compact quantum SUq(2) group. For q is not an element of R, SUq(2) is only a braided compact quantum group with respect to a certain tensor product functor for C-*- algebras with an action of the circle group.

引用

页码：1611 / 1625

页数：15

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