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Group gradings on the Lie and Jordan superalgebras $Q(n)$ (1509.05275v2)
Published 17 Sep 2015 in math.RA
Abstract: We classify gradings by arbitrary abelian groups on the classical simple Lie and Jordan superalgebras $Q(n)$, $n \geq 2$, over an algebraically closed field of characteristic different from $2$ (and not dividing $n+1$ in the Lie case): fine gradings up to equivalence and $G$-gradings, for a fixed group $G$, up to isomorphism.