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.%通过给出 Heisenberg Jordan-Lie 代数的定义,得到 Heisenberg Jordan-Lie 代数H 的自同构群Aut(H )的一些子群,并在 H 为低维的情形下,讨论了自同构群 Aut (H )的基本结构。
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