The Kostrikin Radical and the Invariance of the Core of Reduced Extended Affine Lie Algebras
Canadian mathematical bulletin, Tome 51 (2008) no. 2, pp. 298-309
Voir la notice de l'article provenant de la source Cambridge
In this paper we prove that the Kostrikin radical of an extended affine Lie algebra of reduced type coincides with the center of its core, and use this characterization to get a type-free description of the core of such algebras. As a consequence we get that the core of an extended affine Lie algebra of reduced type is invariant under the automorphisms of the algebra.
Mots-clés :
17B05, 17B65, extended affine Lie algebra, Lie torus, core, Kostrikin radical
Tocón, Maribel. The Kostrikin Radical and the Invariance of the Core of Reduced Extended Affine Lie Algebras. Canadian mathematical bulletin, Tome 51 (2008) no. 2, pp. 298-309. doi: 10.4153/CMB-2008-030-5
@article{10_4153_CMB_2008_030_5,
author = {Toc\'on, Maribel},
title = {The {Kostrikin} {Radical} and the {Invariance} of the {Core} of {Reduced} {Extended} {Affine} {Lie} {Algebras}},
journal = {Canadian mathematical bulletin},
pages = {298--309},
year = {2008},
volume = {51},
number = {2},
doi = {10.4153/CMB-2008-030-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-030-5/}
}
TY - JOUR AU - Tocón, Maribel TI - The Kostrikin Radical and the Invariance of the Core of Reduced Extended Affine Lie Algebras JO - Canadian mathematical bulletin PY - 2008 SP - 298 EP - 309 VL - 51 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-030-5/ DO - 10.4153/CMB-2008-030-5 ID - 10_4153_CMB_2008_030_5 ER -
%0 Journal Article %A Tocón, Maribel %T The Kostrikin Radical and the Invariance of the Core of Reduced Extended Affine Lie Algebras %J Canadian mathematical bulletin %D 2008 %P 298-309 %V 51 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-030-5/ %R 10.4153/CMB-2008-030-5 %F 10_4153_CMB_2008_030_5
Cité par Sources :