Mark C. Wilson, Communications in Algebra 25 (1997), 487-496.
Abstract:
Let $latex K$ be a field of characteristic $latex p>0$, let $latex L$ be a restricted Lie algebra and let $latex R$ be an associative $latex K$-algebra. It is shown that the various constructions in the literature of crossed product of $latex R$ with $latex u(L)$ are equivalent. We calculate explicit formulae relating the parameters involved and obtain a formula which hints at a noncommutative version of the Bell polynomials.