Lifting Lie algebras over the residue field of a discrete valuation ring

Details Lifting Lie algebras over the residue field of a discrete valuation ring Lifting Lie algebras over the residue field of a discrete valuation ring

1999-01-21

arxiv.org/abs/math/9901145v1

Mathematics

K-Theory and Homology

Scientific paper

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.

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