Izvestiya. Mathematics, Tome 4 (1970) no. 4, pp. 741-749
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A. N. Rudakov. On representations of classical semisimple Lie algebras of characteristic $p$. Izvestiya. Mathematics, Tome 4 (1970) no. 4, pp. 741-749. http://geodesic.mathdoc.fr/item/IM2_1970_4_4_a1/
@article{IM2_1970_4_4_a1,
author = {A. N. Rudakov},
title = {On representations of classical semisimple {Lie} algebras of characteristic~$p$},
journal = {Izvestiya. Mathematics},
pages = {741--749},
year = {1970},
volume = {4},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1970_4_4_a1/}
}
TY - JOUR
AU - A. N. Rudakov
TI - On representations of classical semisimple Lie algebras of characteristic $p$
JO - Izvestiya. Mathematics
PY - 1970
SP - 741
EP - 749
VL - 4
IS - 4
UR - http://geodesic.mathdoc.fr/item/IM2_1970_4_4_a1/
LA - en
ID - IM2_1970_4_4_a1
ER -
%0 Journal Article
%A A. N. Rudakov
%T On representations of classical semisimple Lie algebras of characteristic $p$
%J Izvestiya. Mathematics
%D 1970
%P 741-749
%V 4
%N 4
%U http://geodesic.mathdoc.fr/item/IM2_1970_4_4_a1/
%G en
%F IM2_1970_4_4_a1
In this paper theorems are proved about the dimension and the structure of irreducible representations of semisimple Lie algebras with nondegenerate Killing form over a field of prime characteristic.
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[5] Seligman G. B., “Algebraic Lie algebras”, Bull. Amer. Math. Soc., 74:6 (1968), 1051–1065 | DOI | MR | Zbl
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