Deformations of Four Dimensional Lie Algebras

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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.
41 pages, 1 figure

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Representation Theory, Quantum Algebra, 17B56 (Primary); 14D15,13D10,14B12,16S80,16E40 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/124940

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512354
 http://arxiv.org/abs/math/0512354
 Comm. Contemp. Math. 9 (2007), 41-79.

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arXiv