Abstract:

We introduced the notion of Heisenberg Jordan-Lie algebra so as to investigate some subgroups of the automorphism group Aut(H) of Heisenberg JordanLie algebra H. Moreover, we discussed some basic structure of the automorphism group Aut(H) in the case of H being lowdimensional.

Key words: Heisenberg JordanLie algebra, automorphism group, subgroup