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Gradings on semisimple algebras (1803.09959v2)

Published 27 Mar 2018 in math.RA

Abstract: The classification of gradings by abelian groups on finite direct sums of simple finite-dimensional nonassociative algebras over an algebraically closed field is reduced, by means of the use of loop algebras, to the corresponding problem for simple algebras. This requires a good definition of (free) products of group-gradings.

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