2005/10/10 by Carolyn Otto, Otto, Carolyn, Michael Penkava +1
Mathematics · #13D10 #14B12 #14D15 #16E40 #16S80 #17B55 #17B70 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:13D10 #msc:14B12 #msc:14D15 #msc:16E40 #msc:16S80 #msc:17B55 #msc:17B70
paper · pdf · doi:10.48550/arxiv.math/0510207
16 pages, 1 figure
arxiv created 2005/10/10 · openalex publication_date 2005/10/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In 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.