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arxiv: 1309.5770 · v1 · pith:6VGRMZ4Fnew · submitted 2013-09-23 · 🧮 math.RA

The moduli space of 4-dimensional nilpotent complex associative algebras

classification 🧮 math.RA
keywords algebrasdimensionalnilpotentassociativecomplexmodulispacealgeras
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In this paper, we study 4-dimensional nilpotent complex associative algebras. This is a continuation of the study of the moduli space of 4-dimensional algebras. The non-nilpotent algeras were analyzed in an earlier paper. Even though there are only 15 families of nilpotent 4-dimensional algebras, the complexity of their behaviour warrented a separate study, which we give here.

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    Presents inequalities for continuous algebra-multiplications on Banach spaces plus basic observations on their space.