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2011 Deformations of Complex 3-Dimensional Associative Algebras
Alice Fialowski, Michael Penkava, Mitch Phillipson
J. Gen. Lie Theory Appl. 5: 1-22 (2011). DOI: 10.4303/jglta/G110102


We study deformations and the moduli space of 3-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. The main purpose of this paper is to give a logically organized description of the moduli space, and to give an explicit description of how the moduli space is constructed by extensions.


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Alice Fialowski. Michael Penkava. Mitch Phillipson. "Deformations of Complex 3-Dimensional Associative Algebras." J. Gen. Lie Theory Appl. 5 1 - 22, 2011.


Published: 2011
First available in Project Euclid: 29 September 2011

zbMATH: 1223.14012
MathSciNet: MR2846731
Digital Object Identifier: 10.4303/jglta/G110102

Primary: 13D10 , 14B12 , 14D15 , 16E40 , 16S80 , 17B55 , 17B70

Rights: Copyright © 2011 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

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