Mathematics – Quantum Algebra
Scientific paper
1999-07-08
J.Geom.Phys. 37 (2001) 190-200
Mathematics
Quantum Algebra
LaTex2e, 10pg, no figures
Scientific paper
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.
Bonechi Francesco
Ciccoli Nicola
Giachetti Riccardo
Sorace Emanuele
Tarlini Marco
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