Geodesic
Lie Superalgebras Graded by the Root System A(m, n)
Georgia Benkart1 ; Alberto Elduque2, 3, 4
1Dept. of Mathematics, University of Wisconsin, Madison, WI53706, U.S.A.
2Dep. de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain
3We determine the Lie superalgebras that are graded by the root systems of the basic classical simple Lie superalgebras of type A(m, n).
4[
Journal of Lie Theory, Tome 13 (2003) no. 2, pp. 387-400 
Georgia Benkart; Alberto Elduque. Lie Superalgebras Graded by the Root System A(m, n). Journal of Lie Theory, Tome 13 (2003) no. 2, pp. 387-400. http://geodesic.mathdoc.fr/item/JOLT_2003_13_2_a4/
@article{JOLT_2003_13_2_a4,
     author = {Georgia Benkart and Alberto Elduque},
     title = {Lie {Superalgebras} {Graded} by the {Root} {System} {A(m,} n)},
     journal = {Journal of Lie Theory},
     pages = {387--400},
     year = {2003},
     volume = {13},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2003_13_2_a4/}
}
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TI  - Lie Superalgebras Graded by the Root System A(m, n)
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%A Alberto Elduque
%T Lie Superalgebras Graded by the Root System A(m, n)
%J Journal of Lie Theory
%D 2003
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%V 13
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Voir la notice de l'article provenant de la source Heldermann Verlag

We determine the Lie superalgebras that are graded by the root systems of the basic classical simple Lie superalgebras of type A(m, n).