Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 289-293
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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/
@article{FPM_1996_2_1_a15,
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},
pages = {289--293},
year = {1996},
volume = {2},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a15/}
}
TY - JOUR
AU - A. A. Zolotykh
TI - The equivalence of irreducible representations of finite dimensional Lie superalgebras with the same identities
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1996
SP - 289
EP - 293
VL - 2
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a15/
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%0 Journal Article
%A A. A. Zolotykh
%T The equivalence of irreducible representations of finite dimensional Lie superalgebras with the same identities
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1996
%P 289-293
%V 2
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a15/
%G ru
%F FPM_1996_2_1_a15
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.