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Deformations of Four Dimensional Lie Algebras

Alice Fialowski·Michael Penkava
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Abstract

We study the moduli space of four dimensional ordinary Lie algebras, and their versal deformations. Their classification is well known; our focus in this paper is on the deformations, which yield a picture of how the moduli space is assembled. Surprisingly, we get a nice geometric description of this moduli space essentially as an orbifold, with just a few exceptional points.

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Alice Fialowski, Michael Penkava. 2005-12-15. Deformations of Four Dimensional Lie Algebras. https://arxiv.org/abs/math/0512354

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