Hom-Jordan李代数的T*-扩张

摘要

通过Hom-Jordan李代数L的迷向Hom-理想J,得到L中存在包含J的极大迷向Hom-理想I,并得到L等距同构于L/I的某个T*-扩张或某个T*-扩张非退化的余维数为1的Hom-理想,进而给出Hom-Jordan李代数L的结构特征.%By using an isotropic Hom-ideal J of Hom-Jordan Lie algebra L , we obtained that L contained a maximally isotropic Hom-ideal I of J ,then L was isometric to a T*-extension of L/I or a nondegenerate Hom-ideal of codimension 1 in a T*-extension of L/I ,moreover ,we gave structure characteristics of Hom-Jordan Lie algebra L .