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Finite representation type is open
- Publisher
- de Gruyter
- Copyright
- Copyright © 2015 by the
- ISSN
- 0933-7741
- eISSN
- 1435-5337
- DOI
- 10.1515/forum-2012-0124
- Publisher site
- See Article on Publisher Site
Abstract
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.
Journal
Forum Mathematicum – de Gruyter
Published: May 1, 2015