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The topology of the set of nonsoliton Lie algebras in the moduli space of nilpotent Lie algebras

Published 15 Dec 2011 in math.DG | (1112.3422v1)

Abstract: A Lie algebra is called nonsoliton if it does not admit a soliton inner product. We demonstrate that the subset of nonsoliton Lie algebras in the moduli space of indecomposable n-dimensional N-graded nilpotent Lie algebras is discrete if and only if n <= 7.

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