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Isomorphism classes of four dimensional nilpotent associative algebras over a field (1702.00143v2)
Published 1 Feb 2017 in math.GR and math.RA
Abstract: In this paper we classify the isomorphism classes of four dimensional nilpotent associative algebras over a field F, studying regular subgroups of the affine group AGL_4(F). In particular we provide explicit representatives for such classes when F is a finite field, the real field R or an algebraically closed field.
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