What is the form of the Lie derivative in Clifford algebra?
Context:
Consider the Clifford algebra $\mathcal{C}l (p,q) $ with basis $\{e_i \}$. The geometric derivative following Hestenes is defined as
$$ \nabla_x := e^j \frac{\partial}{\partial x^j} $$ (summation) where $\{e^i \}$ is the reciprocal basis and $x_i = x \cdot e^i$ for the radius-vector $x= x^i e_i$.
This paper http://math.columbia.edu/~dlitt/exposnotes/poincare_lemma.pdf defines the Lie derivative of a form $\omega$ as
$$ \mathcal{L}_x \omega = \iota_x \circ d \omega + d ( \iota_x \omega ) $$
Since in GA $$\nabla_x F = \nabla_x \wedge F + \nabla_x \cdot F $$ and there is a correspondence $ \nabla_x \wedge \sim d $
I would like to know what is the equivalent expression of the Lie derivative.