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Lie Superalgebras Graded by the Root Systems $C(n)$, $D(m,n)$, $D(2,1;\alpha)$, $F(4)$, $G(3)$

  Published:2002-12-01
 Printed: Dec 2002
  • Georgia Benkart
  • Alberto Elduque
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Abstract

We determine the Lie superalgebras that are graded by the root systems of the basic classical simple Lie superalgebras of type $C(n)$, $D(m,n)$, $D(2,1;\alpha)$ $(\alpha \in \mathbb{F} \setminus \{0,-1\})$, $F(4)$, and $G(3)$.
MSC Classifications: 17A70 show english descriptions Superalgebras 17A70 - Superalgebras
 

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