4 papers
The moduli space of -dimensional complex associative algebras
Chris Decleene, Carolyn Otto, Michael Penkava +3
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 -dim…
The moduli space of -dimensional complex associative algebras
Chris DeCleene, Carolyn Otto, Michael Penkava +3
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 -dim…
The moduli space of -dimensional complex associative algebras
Derek Bodin, Christopher DeCleene, William Hager +5
In this paper, we study the moduli space of -dimensional complex associative algebras. We give a complete calculation of the cohomology of every element in the moduli space, a…
Classification and versal deformations of L_\infinity algebras on a 2|1-dimensional space
Derek Bodin, Alice Fialowski, Michael Penkava
This article explores \Z_2-graded L_\infinity algebra structures on a 2|1-dimensional vector space. The reader should note that our convention on the parities is the opposite of th…