Geodesic
Representations of the Quantum Group $SL_q(2)$ in a Space of Functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 134 (2003) no. 3, pp. 374-381

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We construct representations of the quantum group $SL_q(2)$ in a functional space. We consider the cases of general and exceptional values of the deformation parameter $q$.
Keywords: quantum deformation, cyclic representation, Casimir operators. 
@article{TMF_2003_134_3_a3,
     author = {D. R. Karakhanyan},
     title = {Representations of the {Quantum} {Group} $SL_q(2)$ in a {Space} of {Functions}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {374--381},
     publisher = {mathdoc},
     volume = {134},
     number = {3},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_134_3_a3/}
}
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D. R. Karakhanyan. Representations of the Quantum Group $SL_q(2)$ in a Space of Functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 134 (2003) no. 3, pp. 374-381. http://geodesic.mathdoc.fr/item/TMF_2003_134_3_a3/