Geodesic
The equivalence of irreducible representations of finite dimensional Lie superalgebras with the same identities
Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 289-293.

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We prove that a faithful irreducible representation of a finite dimensional Lie superalgebra over a algebraically closed field of characteristic zero is determined by the identities of its Grassmann envelope. 
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     author = {A. A. Zolotykh},
     title = {The equivalence of irreducible representations of finite dimensional {Lie} superalgebras with the same identities},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a15/}
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A. A. Zolotykh. The equivalence of irreducible representations of finite dimensional Lie superalgebras with the same identities. Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 289-293. http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a15/