Three modules of simple 3-Lie algebra $A_{\omega}^{\delta}$
Bai, Ruipu ; Ma, Yue ; Liu, Pei
arXiv, 1904.11196 / Harvested from arXiv
Text on arXiv
We construct three infinite dimensional intermediate series reducible modules over the simple infinite dimensional canonical Nambu $3$-Lie algebra $A_{\omega}^{\delta}$, and further investigate their structures. We also construct three other infinite dimensional intermediate series modules over the Witt algebra and show that they are intermediate series modules over the inner derivation algebra of $A_{\omega}^{\delta}$.
Publié le : 2019-04-25
Classification:  Mathematics - Rings and Algebras,  Mathematical Physics 
@article{1904.11196,
     author = {Bai, Ruipu and Ma, Yue and Liu, Pei},
     title = {Three modules of simple 3-Lie algebra $A\_{\omega}^{\delta}$},
     journal = {arXiv},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1904.11196}
}

Bai, Ruipu; Ma, Yue; Liu, Pei. Three modules of simple 3-Lie algebra $A_{\omega}^{\delta}$. arXiv, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/1904.11196/