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arxiv: 1112.3422 · v1 · pith:B3VDKOI3new · submitted 2011-12-15 · 🧮 math.DG

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

classification 🧮 math.DG
keywords algebrasnonsolitonmodulinilpotentspaceadmitalgebracalled
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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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