The moduli space of complex two dimensional associative algebras

2009/03/28 by Derek Bodin, Chris DeCleene, Bodin, Derek +13
Mathematics · #16E40 #16Z05 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:16E40 #msc:16Z05

paper · pdf · doi:10.48550/arxiv.0903.5004

18 pages

arxiv created 2009/03/28 · arxiv updated 2009/12/01

Abstract

In this paper, we study moduli spaces of 2-dimensional complex associative algebras. We give a complete calculation of the cohomology of every element in the moduli space, as well as compute their versal deformations.

Related

• The moduli space of 1|1-dimensional complex associative algebras
• The moduli space of 2|1-dimensional complex associative algebras
• The moduli space of 1|2-dimensional complex associative algebras
• The moduli space of 3-dimensional associative algebras
• The moduli space of 4-dimensional non-nilpotent complex associative algebras