The moduli space of $1|2$-dimensional complex associative algebras
Rings and Algebras
2009-11-02 v1
Abstract
In this paper, we study the moduli space of -dimensional complex associative algebras, which is also the moduli space of codifferentials on the tensor coalgebra of a -dimensional complex space. We construct the moduli space by considering extensions of lower dimensional algebras. We also construct miniversal deformations of these algebras. This gives a complete description of how the moduli space is glued together via jump deformations.
Keywords
Cite
@article{arxiv.0910.5951,
title = {The moduli space of $1|2$-dimensional complex associative algebras},
author = {Chris Decleene and Carolyn Otto and Michael Penkava and Mitch Phillipson and Ryan Steinbach and Eric Weber},
journal= {arXiv preprint arXiv:0910.5951},
year = {2009}
}
Comments
20 pages