# MathSciDoc: An Archive for Mathematician ∫

#### Rings and Algebrasmathscidoc:1701.31003

Arkiv for Matematik, 52, (1), 99-112, 2012.5
Let$d$be a positive integer, $A={\mathbb{C}} [t_{1}^{\pm1},\ldots ,t_{d}^{\pm1}]$ be the Laurent polynomial algebra, and $W=\operatorname{Der} (A)$ be the derivation Lie algebra of$A$. Then we have the semidirect product Lie algebra$W$⋉$A$which we call the extended Witt algebra of rank$d$. In this paper, we classify all irreducible Harish-Chandra modules over$W$⋉$A$with nontrivial action of$A$.
@inproceedings{xiangqian2012irreducible,
title={Irreducible Harish-Chandra modules over extended Witt algebras},
author={Xiangqian Guo, Genqiang Liu, and Kaiming Zhao},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203636506217052},
booktitle={Arkiv for Matematik},
volume={52},
number={1},
pages={99-112},
year={2012},
}

Xiangqian Guo, Genqiang Liu, and Kaiming Zhao. Irreducible Harish-Chandra modules over extended Witt algebras. 2012. Vol. 52. In Arkiv for Matematik. pp.99-112. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203636506217052.