Nondegeneracy for Lie Triple Systems and Kantor Pairs

Canadian mathematical bulletin

Miguel Gómez Lozano¹  Esther García²  Erhard Neher³ 

[1] Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, 29071 Málaga, Spain;Departamento de Matemática Aplicada, Universidad Rey Juan Carlos, 28933 Móstoles (Madrid), Spain;Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, K1N 6N5

关键词: Kantor pairs;    Lie triple systems;    Lie algebras;   

DOI  :  10.4153/CMB-2011-023-9

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We study the transfer of nondegeneracybetween Lie triple systems and their standard Lie algebra envelopesas well as between Kantor pairs, their associated Lie triple systems, and their Lie algebra envelopes. We also show that simple Kantorpairs and Lie triple systems in characteristic $0$ arenondegenerate.

【 授权许可】

Unknown