Nondegeneracy for Lie Triple Systems and Kantor Pairs
Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 442-455
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We study the transfer of nondegeneracy between Lie triple systems and their standard Lie algebra envelopes as well as between Kantor pairs, their associated Lie triple systems, and their Lie algebra envelopes. We also show that simple Kantor pairs and Lie triple systems in characteristic 0 are nondegenerate.
Mots-clés :
17A40, 17B60, 17B99, Kantor pairs, Lie triple systems, Lie algebras
García, Esther; Lozano, Miguel Gómez; Neher, Erhard. Nondegeneracy for Lie Triple Systems and Kantor Pairs. Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 442-455. doi: 10.4153/CMB-2011-023-9
@article{10_4153_CMB_2011_023_9,
author = {Garc{\'\i}a, Esther and Lozano, Miguel G\'omez and Neher, Erhard},
title = {Nondegeneracy for {Lie} {Triple} {Systems} and {Kantor} {Pairs}},
journal = {Canadian mathematical bulletin},
pages = {442--455},
year = {2011},
volume = {54},
number = {3},
doi = {10.4153/CMB-2011-023-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-023-9/}
}
TY - JOUR AU - García, Esther AU - Lozano, Miguel Gómez AU - Neher, Erhard TI - Nondegeneracy for Lie Triple Systems and Kantor Pairs JO - Canadian mathematical bulletin PY - 2011 SP - 442 EP - 455 VL - 54 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-023-9/ DO - 10.4153/CMB-2011-023-9 ID - 10_4153_CMB_2011_023_9 ER -
%0 Journal Article %A García, Esther %A Lozano, Miguel Gómez %A Neher, Erhard %T Nondegeneracy for Lie Triple Systems and Kantor Pairs %J Canadian mathematical bulletin %D 2011 %P 442-455 %V 54 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-023-9/ %R 10.4153/CMB-2011-023-9 %F 10_4153_CMB_2011_023_9
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