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arXiv · 1309.6050

The moduli space of 4-dimensional non-nilpotent complex associative algebras

Alice Fialowski·Michael Penkava
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Abstract

In this paper we study the moduli space of 4-dimensional complex associative algebras. We use extensions to compute the moduli space, and then give a decomposition of this moduli space into strata consisting of complex projective orbifolds, glued together through jump deformations. Because the space of 4-dimensional algebras is large, we only classify the non-nilpotent algebras in this paper.

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Alice Fialowski, Michael Penkava. 2013-09-24. The moduli space of 4-dimensional non-nilpotent complex associative algebras. https://arxiv.org/abs/1309.6050

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