%0 Journal Article
%T Lifting Lie algebras over the residue field of a discrete valuation ring
%A William Browder
%A Jonathan Pakianathan
%J Mathematics
%D 1999
%I arXiv
%X Studies among other things, the question of whether a Lie algebra over Z/(p^k)Z lifts to one over Z/(p^(k+1))Z. An obstruction theory is developed and examples of Fp-Lie algebras which don't lift to Lie algebras over Z/p^2Z are discussed. An example of an application of the result: A Fp-Lie algebra L with H^3(L, ad)=0 will lift to a p-adic Lie algebra.
%U http://arxiv.org/abs/math/9901145v1