The moduli space of complex two dimensional associative algebras
Derek Bodin, Chris DeCleene, William Hager, Carolyn Otto, Michael, Penkava, Mitch Phillipson, Ryan Steinbach, Eric Weber
TL;DR
This paper explores the structure of the moduli space of 2-dimensional complex associative algebras, providing detailed cohomology calculations and deformation analyses for each algebra in the space.
Contribution
It offers a comprehensive classification and cohomological analysis of all 2-dimensional complex associative algebras, including their versal deformations.
Findings
Complete cohomology calculations for all moduli space elements
Explicit descriptions of versal deformations
Classification of 2-dimensional complex associative algebras
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Algebra and Geometry