The moduli space of 3-dimensional associative algebras
Alice Fialowski (Eotvos Lorand University, Budapest), Michael Penkava, (University of Wisconsin, Eau Claire)
TL;DR
This paper classifies 3-dimensional associative algebras over complex numbers and constructs their moduli space using versal deformations to understand its structure.
Contribution
It provides a complete classification and explicit construction of the moduli space for 3D associative algebras over complex numbers, including deformation analysis.
Findings
Complete classification of 3D associative algebras
Construction of the moduli space using versal deformations
Description of how the moduli space is assembled
Abstract
In this paper, we give a classification of the 3-dimensional associative algebras over the complex numbers, including a construction of the moduli space, using versal deformations to determine how the space is glued together.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology