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Two approaches to the tangent space of a noncommutative space whose coordinate algebra is the enveloping algebra of a Lie algebra are known: the Heisenberg double construction and the approach via deformed derivatives, usually defined by procedures involving orderings among noncommutative coordinates or equivalently involving realizations via formal differential operators.
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S. Krešić-Jurić, S. Meljanac, M. Stojić, Covariant realizations of kappa-deformed space, Eur. Phys. J. C 51 (2007), no. 1, 229240,
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