The moduli space of 3-dimensional associative algebras

2008/07/20 by Alice Fialowski, Fialowski, Alice, Michael Penkava +1
Mathematics · #16E40 #16G #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:16E40 #msc:16G

paper · pdf · doi:10.48550/arxiv.0807.3178

24 pages, 1 figure

arxiv created 2008/07/20 · arxiv updated 2009/12/01

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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