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 cannot be extended to an Hopf algebra. We explicitly describe the quantum homogeneous spaces and their double cosets.
The coisotropic subgroup structure of quantum SL_q(2,R)
CICCOLI, Nicola;
2001
Abstract
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 cannot be extended to an Hopf algebra. We explicitly describe the quantum homogeneous spaces and their double cosets.File in questo prodotto:
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