镜面Heisenberg-Virasoro代数的双导子及Hom-李代数结构
Biderivations and Hom-Lie Algebra Structures on the Mirror Heisenberg-Virasoro Algebra
黄忠铣1
作者信息
- 1. 武夷学院 数学与计算机学院,福建 武夷山 354300
- 折叠
摘要
首先利用斜对称双导子的基本性质,确定镜面 Heisenberg-Virasoro 代数的所有双导子,然后证明镜面Heisenberg-Virasoro代数的斜对称双导子都是内导子.最后得到此李代数上存在非平凡的Hom-李代数结构.
Abstract
We first determine all the biderivations of the Mirror Heisenberg-Virasoro algebra using the basic properties of skew-sym-metric biderivations.We prove that every skew-symmetric biderivation of the algebra is inner.Second,we obtain that there are some non-trivial Hom-Lie algebra structures on the Lie algebra.
关键词
镜面Heisenberg-Virasoro代数/斜对称双导子/内导子/Hom-李代数/自同态Key words
mirror Heisenberg-Virasoro algebra/skew-symmetric biderivation/inner biderivation/Hom-Lie algebra/endomorphism引用本文复制引用
出版年
2024
NETL
NSTL
维普
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