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Characterizing Nilpotent Associative Algebras by Their Multiplier
Published 2 Feb 2023 in math.RA | (2302.01422v1)
Abstract: The paper concerns an analogue of the famous Schur multiplier in the context of associative algebras and a measure of how far its dimension is from being maximal. Applying a methodology from Lie theory, we characterize all finite-dimensional nilpotent associative algebras for which this measure is ten or less.
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