Matematičeskie zametki, Tome 8 (1970) no. 6, pp. 703-710
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A. U. Klimyk. Decomposition of highest-weight representations of a semisimple Lie algebra into representations of regular subalgebras. Matematičeskie zametki, Tome 8 (1970) no. 6, pp. 703-710. http://geodesic.mathdoc.fr/item/MZM_1970_8_6_a2/
@article{MZM_1970_8_6_a2,
author = {A. U. Klimyk},
title = {Decomposition of highest-weight representations of a semisimple {Lie} algebra into representations of regular subalgebras},
journal = {Matemati\v{c}eskie zametki},
pages = {703--710},
year = {1970},
volume = {8},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_6_a2/}
}
TY - JOUR
AU - A. U. Klimyk
TI - Decomposition of highest-weight representations of a semisimple Lie algebra into representations of regular subalgebras
JO - Matematičeskie zametki
PY - 1970
SP - 703
EP - 710
VL - 8
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1970_8_6_a2/
LA - ru
ID - MZM_1970_8_6_a2
ER -
%0 Journal Article
%A A. U. Klimyk
%T Decomposition of highest-weight representations of a semisimple Lie algebra into representations of regular subalgebras
%J Matematičeskie zametki
%D 1970
%P 703-710
%V 8
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1970_8_6_a2/
%G ru
%F MZM_1970_8_6_a2
A formula is derived for the decomposition of the highest-weight representation of a semisimple Lie algebra into irreducible representations of its regular subalgebra. In particular the case of finite-dimensional representations is investigated.
