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Paper detail

The coisotropic subgroup structure of SL_q(2,R)

We study the coisotropic subgroup structure of standard SL_q(2,R) and the corresponding embeddable quantum homogeneous spaces. While the subgroups S^1 and R_+ survive undeformed in the quantization as coalgebras, we show that R is deformed to a family of quantum coisotropic subgroups whose coalgebra can not be extended to an Hopf algebra. We explicitly describe the quantum homogeneous spaces and their double cosets.

preprint1999arXivOpen access
F. BonechiN. CiccoliR. GiachettiE. SoraceM. Tarlini
math.QAhep-th
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F. BonechiN. CiccoliR. GiachettiE. SoraceM. Tarlini

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