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arXiv · 1509.05275

Group gradings on the Lie and Jordan superalgebras $Q(n)$

Yuri Bahturin·Helen Samara Dos Santos·Caio De Naday Hornhardt·Mikhail Kochetov
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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.

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Yuri Bahturin, Helen Samara Dos Santos, Caio De Naday Hornhardt, Mikhail Kochetov. 2015-09-17. Group gradings on the Lie and Jordan superalgebras $Q(n)$. https://arxiv.org/abs/1509.05275

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