Nondegeneracy for Lie Triple Systems and Kantor Pairs

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.