A solvability criterion for the Lie algebra of derivations of a fat point

Details A solvability criterion for the Lie algebra of derivations of a fat point A solvability criterion for the Lie algebra of derivations of a fat point

2009-09-08

arxiv.org/abs/0909.1471v1

J. Algebra 323,10 (2010), 2916-2921

Mathematics

Algebraic Geometry

6 pages, comments welcome!

Scientific paper

We consider the Lie algebra of derivations of a zero dimensional local
complex algebra. We describe an inequality involving the embedding dimension,
the order, and the first deviation that forces this Lie algebra to be solvable.
Our result was motivated by and generalizes the solvability of the Yau algebra
of an isolated hypersurface singularity.

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