The Moduli Space of Three Dimensional Lie Algebras

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dc.creatorOtto, Carolyn
dc.creatorPenkava, Michael
dc.date2005-10-10
dc.date.accessioned2026-07-07T06:47:20Z
dc.date.available2026-07-07T06:47:20Z
dc.descriptionIn this paper, we consider the versal deformations of three dimensional Lie algebras. We classify Lie algebras and study their deformations by using linear algebra techniques to study the cohomology. We will focus on how the deformations glue the space of all such structures together. This space is known as the moduli space. We will give a geometric description of this space, derived from deformation theory, in order to illustrate general features of moduli spaces of Lie algebras.
dc.description16 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0510207
dc.identifierhttp://arxiv.org/abs/math/0510207
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103617
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject14D15;13D10;14B12;16S80;16E40;17B55;17B70
dc.titleThe Moduli Space of Three Dimensional Lie Algebras
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