Geodesic
Lie Superalgebras Graded by the Root Systems C(n), D(m, n), D(2, 1, α), F(4), G(3)
Canadian mathematical bulletin, Tome 45 (2002) no. 4, pp. 509-524

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DOI

We determine the Lie superalgebras that are graded by the root systems of the basic classical simple Lie superalgebras of type $C\left( n \right),D\left( m,n \right),D\left( 2,1;\alpha\right)\left( \alpha \in \mathbb{F}\backslash \left\{ 0,-1 \right\} \right),F(4)$ , and $G(3)$ .
DOI : 10.4153/CMB-2002-052-7
Mots-clés : 17A70 
Benkart, Georgia; Elduque, Alberto. Lie Superalgebras Graded by the Root Systems C(n), D(m, n), D(2, 1, α), F(4), G(3). Canadian mathematical bulletin, Tome 45 (2002) no. 4, pp. 509-524. doi: 10.4153/CMB-2002-052-7
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     author = {Benkart, Georgia and Elduque, Alberto},
     title = {Lie {Superalgebras} {Graded} by the {Root} {Systems} {C(n),} {D(m,} n), {D(2,} 1, \ensuremath{\alpha}), {F(4),} {G(3)}},
     journal = {Canadian mathematical bulletin},
     pages = {509--524},
     year = {2002},
     volume = {45},
     number = {4},
     doi = {10.4153/CMB-2002-052-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-052-7/}
}
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