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arxiv: 0903.4994 · v1 · submitted 2009-03-28 · 🧮 math.RA

The moduli space of 1|1-dimensional complex associative algebras

Derek Bodin , Christopher DeCleene , William Hager , Carolyn Otto , Michael Penkava , Mitch Phillipson , Ryan Steinbach , Eric Weber This is my paper
classification 🧮 math.RA
keywords modulispacealgebrasassociativecomplexdimensionalcalculationcohomology
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In this paper, we study the moduli space of $1|1$-dimensional complex associative algebras. We give a complete calculation of the cohomology of every element in the moduli space, as well as compute their versal deformations.

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