The deformations of a Lie ideal are controlled by the cohomology of the ambient Lie algebra with coefficients in Hom(i, g/i), yielding rigidity and stability criteria.
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Deformations of ideals in Lie algebras
The deformations of a Lie ideal are controlled by the cohomology of the ambient Lie algebra with coefficients in Hom(i, g/i), yielding rigidity and stability criteria.