Journal of Jilin University Science Edition

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T*Extensions of HomJordan Lie Algebras

LI Qiang, MA Lili, HAN Yang, ZHANG Jing   

  1. School of Science, Qiqihar University, Qiqihar 161006, Heilongjiang Province, China
  • Received:2017-02-02 Online:2018-01-26 Published:2018-01-24
  • Contact: LI Qiang E-mail:liq347@sina.cn

Abstract: 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
.

Key words: T*extension, isometric, isotropic Homideal

CLC Number: 

  • O152.5