Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part IX, Tome 164 (1987), pp. 142-150
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G. I. Olshanskii. Yangians and universal enveloping algebras. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part IX, Tome 164 (1987), pp. 142-150. http://geodesic.mathdoc.fr/item/ZNSL_1987_164_a10/
@article{ZNSL_1987_164_a10,
author = {G. I. Olshanskii},
title = {Yangians and universal enveloping algebras},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {142--150},
year = {1987},
volume = {164},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_164_a10/}
}
TY - JOUR
AU - G. I. Olshanskii
TI - Yangians and universal enveloping algebras
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1987
SP - 142
EP - 150
VL - 164
UR - http://geodesic.mathdoc.fr/item/ZNSL_1987_164_a10/
LA - ru
ID - ZNSL_1987_164_a10
ER -
%0 Journal Article
%A G. I. Olshanskii
%T Yangians and universal enveloping algebras
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 142-150
%V 164
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_164_a10/
%G ru
%F ZNSL_1987_164_a10
In terms of the algebras $U(\mathfrak{gl}(n))$, $n=1,2,\dots$ an algebra A is constructed, which yields both a realization of the Yangians $Y(\mathfrak{gl}(m))$ and the “right” version of the universal enveloping algebra for certain classical infinite-dimensional Lie algebras. Bibl. – 9.