Nondegeneracy for Lie Triple Systems and Kantor Pairs
Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 442-455

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DOI

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.
DOI : 10.4153/CMB-2011-023-9
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
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     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/}
}
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