Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583916 | Journal of Algebra | 2016 | 23 Pages |
Abstract
In this paper, we study the moduli space of all complex 5-dimensional Lie algebras, realizing it as a stratification by orbifolds, which are connected only by jump deformations. The orbifolds are given by the action of finite groups on very simple complex manifolds. Our method of determining the stratification is based on the construction of versal deformations of the Lie algebras, which allow us to identify natural neighborhoods of the elements in the moduli space.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alice Fialowski, Michael Penkava,