Deformations of Lie algebras and Induction of Schemes

@inproceedings{Carles2007DeformationsOL,
  title={Deformations of Lie algebras and Induction of Schemes},
  author={Roger Carles},
  year={2007}
}
  • Roger Carles
  • Published 2007
Let Lm be the scheme of the laws defined by the identities of Jacobi on K. The local studies of an algebraic Lie algebra g = R ⋉ n in Lm and its nilpotent part n in the scheme LRn of R-invariant Lie algebras on K are linked. This comparison is made by means of slices, which are transversal subschemes to the orbits of g and n under the classical groups acting on Lm and L R n respectively. We prove a reduction theorem saying that, under certain conditions on g, the local rings of the slices at g… CONTINUE READING

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