Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2011), pp. 31-36
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M. M. Derkach; A. S. Ten. Maximal commutative subalgebras of functions on spaces dual to Lie algebras. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2011), pp. 31-36. http://geodesic.mathdoc.fr/item/VMUMM_2011_1_a5/
@article{VMUMM_2011_1_a5,
author = {M. M. Derkach and A. S. Ten},
title = {Maximal commutative subalgebras of functions on spaces dual to {Lie} algebras},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {31--36},
year = {2011},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2011_1_a5/}
}
TY - JOUR
AU - M. M. Derkach
AU - A. S. Ten
TI - Maximal commutative subalgebras of functions on spaces dual to Lie algebras
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2011
SP - 31
EP - 36
IS - 1
UR - http://geodesic.mathdoc.fr/item/VMUMM_2011_1_a5/
LA - ru
ID - VMUMM_2011_1_a5
ER -
%0 Journal Article
%A M. M. Derkach
%A A. S. Ten
%T Maximal commutative subalgebras of functions on spaces dual to Lie algebras
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2011
%P 31-36
%N 1
%U http://geodesic.mathdoc.fr/item/VMUMM_2011_1_a5/
%G ru
%F VMUMM_2011_1_a5
The problem of searching the maximal commutative sets of polynomial functions on the dual space to the semidirect sum of a Lie algebra and a vector space is studied. It is proved that if the first component of the semidirect sum is a compact algebra, then the set of functions can be described explicitly. This result is applied to some particular Lie algebras.
