The coisotropic subgroup structure of SL_q(2,R)

F. Bonechi; N. Ciccoli; R. Giachetti; E. Sorace; M. Tarlini

doi:10.1016/s0393-0440(00)00039-5

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The coisotropic subgroup structure of SL_q(2,R)

F. Bonechi·N. Ciccoli·R. Giachetti·E. Sorace·M. Tarlini

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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 can not be extended to an Hopf algebra. We explicitly describe the quantum homogeneous spaces and their double cosets.

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F. Bonechi, N. Ciccoli, R. Giachetti, E. Sorace, M. Tarlini. 1999-07-08. The coisotropic subgroup structure of SL_q(2,R). https://doi.org/10.1016/s0393-0440(00)00039-5

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