Deformations of Four Dimensional Lie Algebras

Details Deformations of Four Dimensional Lie Algebras Deformations of Four Dimensional Lie Algebras

2005-12-15

arxiv.org/abs/math/0512354v1

Comm. Contemp. Math. 9 (2007), 41-79.

Mathematics

Representation Theory

41 pages, 1 figure

Scientific paper

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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