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Lie Superalgebras Graded by the Root Systems $C(n)$, $D(m,n)$, $D(2,1;\alpha)$, $F(4)$, $G(3)$ |
Canad. Math. Bull. 45(2002), 509-524
Published:2002-12-01
Printed: Dec 2002
Printed: Dec 2002
- Georgia Benkart
- Alberto Elduque
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 - Superalgebras |