Loop Virasoro Lie Conformal Algebra
Loop Virasoro Lie Conformal Algebra
复制标题
DOI：
10.1063/1.4862683
复制
发表时间：
2013-11
期刊：
影响因子：
--
通讯作者：
Henan Wu;Qiufan Chen;Xiaoqing Yue
中科院分区：
文献类型：
--
作者：
Henan Wu;Qiufan Chen;Xiaoqing Yue
The Lie conformal algebra of loop Virasoro algebra, denoted by $\mathscr{CW}$, is introduced in this paper. Explicitly, $\mathscr{CW}$ is a Lie conformal algebra with $\mathbb{C}[\partial]$-basis $\{L_i\,|\,i\in\mathbb{C}\}$ and $\lambda$-brackets $[L_i\, {}_\lambda \, L_j]=(-\partial-2\lambda) L_{i+j}$. Then conformal derivations of $\mathscr{CW}$ are determined. Finally, rank one conformal modules and $\mathbb{Z}$-graded free intermediate series modules over $\mathscr{CW}$ are classified.
