The coisotropic subgroup structure of SLq(2, R)

被引：6

作者：

Bonechi, F

Ciccoli, N

Giachetti, R

Sorace, E

Tarlini, M

机构：

[1] Univ Florence, Dipartimento Fis, I-50125 Florence, Italy

[2] Ist Nazl Fis Nucl, Sez Firenze, I-50125 Florence, Italy

[3] Univ Perugia, Dipartimento Matemat, I-06100 Perugia, Italy

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2001年 / 37卷 / 03期

关键词：

SLq(2; R); coisotropic quantum subgroups; quantum homogeneous spaces;

D O I：

10.1016/S0393-0440(00)00039-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the coisotropic subgroup structure of standard SLq(2, R) and the corresponding embeddable quantum homogeneous spaces. While the subgroups S-1 and R-4 survive undeformed in the quantization as coalgebras, we show that R is deformed to a family of quantum coisotropic subgroups whose coalgebra cannot be extended to an Hopf algebra. We explicitly describe the quantum homogeneous spaces and their double cosets. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：190 / 200

页数：11

共 15 条

[1] Unitarity of induced representations from coisotropic quantum subgroups [J].