一类Heisenberg n-李代数的自同构群(英文)

Automorphism Group of a Class of Heisenberg n-Lie Algebras

本文主要研究Heisenberg n-李代数的结构.给出了一类(3m+1)-维Heisenberg3-李代数及(nm+1)-维Heisenberg n-李代数的自同构群.且给出了自同构的具体表达式.

This paper mainly concerns Heisenberg n-Lie algebras.The structure of auto-morphism groups of（3m ＋ l）-dimensional Heisenberg 3-Lie algebras is determined.The auto-morphism groups of（mn ＋ 1）-dimensional Heisenberg n-Lie algebras are studied;the concrete expression of every automorphism is given.