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 
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/
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     title = {A~differential calculus on the quantum group $SU_q(2)$ compatible with the gauge-transformation structure},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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