Geodesic
A~differential calculus on the quantum group $SU_q(2)$ compatible with the gauge-transformation structure
Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 2, pp. 265-276

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We consider a three-dimensional bicovariant differential calculus on the quantum group $SU_q(2)$ that is compatible with the structure of gauge transformations. In the approach based on the global covariance with respect to the stability subgroup $U(1)$, we show that the gauge-covariant exterior differential algebra on $SU_q(2)$ is uniquely determined. We construct explicit representations of $q$-deformed Lie algebras in terms of differential operators. 
@article{TMF_1998_116_2_a7,
     author = {D. G. Pak},
     title = {A~differential calculus on the quantum group $SU_q(2)$ compatible with the gauge-transformation structure},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {265--276},
     publisher = {mathdoc},
     volume = {116},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_116_2_a7/}
}
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D. G. Pak. A~differential calculus on the quantum group $SU_q(2)$ compatible with the gauge-transformation structure. Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 2, pp. 265-276. http://geodesic.mathdoc.fr/item/TMF_1998_116_2_a7/